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Finding the Fourth Proportional to 565.91, 781.95 and 436.04

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Solution

The fourth proportional to 565.91, 781.95 and 436.04 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.91 : 781.95 = 436.04 : x
  2. Step 2: Convert to fraction form
    565.91/781.95 = 436.04/x
  3. Step 3: Cross multiply
    565.91x = 781.95 × 436.04
  4. Step 4: Simplify right side
    565.91x = 340,957.57
  5. Step 5: Solve for x
    x = 340,957.57/565.91
  6. Step 6: Final answer
    x = 602.50

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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.