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Finding the Fourth Proportional to 531.96, 801.30 and 499.56

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Solution

The fourth proportional to 531.96, 801.30 and 499.56 is: 752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 801.30 = 499.56 : x
  2. Step 2: Convert to fraction form
    531.96/801.30 = 499.56/x
  3. Step 3: Cross multiply
    531.96x = 801.30 × 499.56
  4. Step 4: Simplify right side
    531.96x = 400,297.43
  5. Step 5: Solve for x
    x = 400,297.43/531.96
  6. Step 6: Final answer
    x = 752.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.