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Finding the Fourth Proportional to 565.86, 781.44 and 431.04

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Solution

The fourth proportional to 565.86, 781.44 and 431.04 is: 595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.86 : 781.44 = 431.04 : x
  2. Step 2: Convert to fraction form
    565.86/781.44 = 431.04/x
  3. Step 3: Cross multiply
    565.86x = 781.44 × 431.04
  4. Step 4: Simplify right side
    565.86x = 336,831.90
  5. Step 5: Solve for x
    x = 336,831.90/565.86
  6. Step 6: Final answer
    x = 595.26

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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.