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Finding the Fourth Proportional to 565.03, 781.45 and 505.92

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Solution

The fourth proportional to 565.03, 781.45 and 505.92 is: 699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 781.45 = 505.92 : x
  2. Step 2: Convert to fraction form
    565.03/781.45 = 505.92/x
  3. Step 3: Cross multiply
    565.03x = 781.45 × 505.92
  4. Step 4: Simplify right side
    565.03x = 395,351.18
  5. Step 5: Solve for x
    x = 395,351.18/565.03
  6. Step 6: Final answer
    x = 699.70

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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.