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Finding the Fourth Proportional to 531.22, 793.13 and 498.40

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Solution

The fourth proportional to 531.22, 793.13 and 498.40 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.22 : 793.13 = 498.40 : x
  2. Step 2: Convert to fraction form
    531.22/793.13 = 498.40/x
  3. Step 3: Cross multiply
    531.22x = 793.13 × 498.40
  4. Step 4: Simplify right side
    531.22x = 395,295.99
  5. Step 5: Solve for x
    x = 395,295.99/531.22
  6. Step 6: Final answer
    x = 744.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.