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Finding the Fourth Proportional to 539.67, 805.57 and 463.13

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Solution

The fourth proportional to 539.67, 805.57 and 463.13 is: 691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.67 : 805.57 = 463.13 : x
  2. Step 2: Convert to fraction form
    539.67/805.57 = 463.13/x
  3. Step 3: Cross multiply
    539.67x = 805.57 × 463.13
  4. Step 4: Simplify right side
    539.67x = 373,081.47
  5. Step 5: Solve for x
    x = 373,081.47/539.67
  6. Step 6: Final answer
    x = 691.31

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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.