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Finding the Fourth Proportional to 531.05, 731.31 and 433.04

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Solution

The fourth proportional to 531.05, 731.31 and 433.04 is: 596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.05 : 731.31 = 433.04 : x
  2. Step 2: Convert to fraction form
    531.05/731.31 = 433.04/x
  3. Step 3: Cross multiply
    531.05x = 731.31 × 433.04
  4. Step 4: Simplify right side
    531.05x = 316,686.48
  5. Step 5: Solve for x
    x = 316,686.48/531.05
  6. Step 6: Final answer
    x = 596.34

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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.