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Finding the Fourth Proportional to 531.96, 733.65 and 421.23

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Solution

The fourth proportional to 531.96, 733.65 and 421.23 is: 580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 733.65 = 421.23 : x
  2. Step 2: Convert to fraction form
    531.96/733.65 = 421.23/x
  3. Step 3: Cross multiply
    531.96x = 733.65 × 421.23
  4. Step 4: Simplify right side
    531.96x = 309,035.39
  5. Step 5: Solve for x
    x = 309,035.39/531.96
  6. Step 6: Final answer
    x = 580.94

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Double scale
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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.