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Finding the Fourth Proportional to 673.50, 929.44 and 411.46

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Solution

The fourth proportional to 673.50, 929.44 and 411.46 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.50 : 929.44 = 411.46 : x
  2. Step 2: Convert to fraction form
    673.50/929.44 = 411.46/x
  3. Step 3: Cross multiply
    673.50x = 929.44 × 411.46
  4. Step 4: Simplify right side
    673.50x = 382,427.38
  5. Step 5: Solve for x
    x = 382,427.38/673.50
  6. Step 6: Final answer
    x = 567.82

Related Problems

Find fourth proportional to 336.75, 464.72 and 205.73
Half scale
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Double scale
Find fourth proportional to 674.50, 930.82 and 412.46
Similar ratio
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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.