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Finding the Fourth Proportional to 531.78, 734.70 and 414.19

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Solution

The fourth proportional to 531.78, 734.70 and 414.19 is: 572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.78 : 734.70 = 414.19 : x
  2. Step 2: Convert to fraction form
    531.78/734.70 = 414.19/x
  3. Step 3: Cross multiply
    531.78x = 734.70 × 414.19
  4. Step 4: Simplify right side
    531.78x = 304,305.39
  5. Step 5: Solve for x
    x = 304,305.39/531.78
  6. Step 6: Final answer
    x = 572.24

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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.