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Finding the Fourth Proportional to 539.20, 813.13 and 531.91

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Solution

The fourth proportional to 539.20, 813.13 and 531.91 is: 802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.20 : 813.13 = 531.91 : x
  2. Step 2: Convert to fraction form
    539.20/813.13 = 531.91/x
  3. Step 3: Cross multiply
    539.20x = 813.13 × 531.91
  4. Step 4: Simplify right side
    539.20x = 432,511.98
  5. Step 5: Solve for x
    x = 432,511.98/539.20
  6. Step 6: Final answer
    x = 802.14

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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.