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Finding the Fourth Proportional to 1,230.75, 1,698.44 and 678.75

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Solution

The fourth proportional to 1,230.75, 1,698.44 and 678.75 is: 936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.75 : 1,698.44 = 678.75 : x
  2. Step 2: Convert to fraction form
    1,230.75/1,698.44 = 678.75/x
  3. Step 3: Cross multiply
    1,230.75x = 1,698.44 × 678.75
  4. Step 4: Simplify right side
    1,230.75x = 1,152,812.76
  5. Step 5: Solve for x
    x = 1,152,812.76/1,230.75
  6. Step 6: Final answer
    x = 936.68

Related Problems

Find fourth proportional to 615.38, 849.22 and 339.38
Half scale
Find fourth proportional to 2,461.50, 3,396.87 and 1,357.50
Double scale
Find fourth proportional to 1,231.75, 1,699.82 and 679.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.