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Finding the Fourth Proportional to 539.18, 807.79 and 430.17

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Solution

The fourth proportional to 539.18, 807.79 and 430.17 is: 644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.18 : 807.79 = 430.17 : x
  2. Step 2: Convert to fraction form
    539.18/807.79 = 430.17/x
  3. Step 3: Cross multiply
    539.18x = 807.79 × 430.17
  4. Step 4: Simplify right side
    539.18x = 347,487.02
  5. Step 5: Solve for x
    x = 347,487.02/539.18
  6. Step 6: Final answer
    x = 644.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.