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Finding the Fourth Proportional to 539.71, 743.95 and 434.61

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Solution

The fourth proportional to 539.71, 743.95 and 434.61 is: 599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.71 : 743.95 = 434.61 : x
  2. Step 2: Convert to fraction form
    539.71/743.95 = 434.61/x
  3. Step 3: Cross multiply
    539.71x = 743.95 × 434.61
  4. Step 4: Simplify right side
    539.71x = 323,328.65
  5. Step 5: Solve for x
    x = 323,328.65/539.71
  6. Step 6: Final answer
    x = 599.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.