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Finding the Fourth Proportional to 1,230.85, 1,698.57 and 671.32

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Solution

The fourth proportional to 1,230.85, 1,698.57 and 671.32 is: 926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.85 : 1,698.57 = 671.32 : x
  2. Step 2: Convert to fraction form
    1,230.85/1,698.57 = 671.32/x
  3. Step 3: Cross multiply
    1,230.85x = 1,698.57 × 671.32
  4. Step 4: Simplify right side
    1,230.85x = 1,140,284.01
  5. Step 5: Solve for x
    x = 1,140,284.01/1,230.85
  6. Step 6: Final answer
    x = 926.42

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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.