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Finding the Fourth Proportional to 565.95, 781.49 and 356.48

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Solution

The fourth proportional to 565.95, 781.49 and 356.48 is: 492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.95 : 781.49 = 356.48 : x
  2. Step 2: Convert to fraction form
    565.95/781.49 = 356.48/x
  3. Step 3: Cross multiply
    565.95x = 781.49 × 356.48
  4. Step 4: Simplify right side
    565.95x = 278,582.27
  5. Step 5: Solve for x
    x = 278,582.27/565.95
  6. Step 6: Final answer
    x = 492.24

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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.