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Finding the Fourth Proportional to 565.23, 781.48 and 440.85

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Solution

The fourth proportional to 565.23, 781.48 and 440.85 is: 609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.23 : 781.48 = 440.85 : x
  2. Step 2: Convert to fraction form
    565.23/781.48 = 440.85/x
  3. Step 3: Cross multiply
    565.23x = 781.48 × 440.85
  4. Step 4: Simplify right side
    565.23x = 344,515.46
  5. Step 5: Solve for x
    x = 344,515.46/565.23
  6. Step 6: Final answer
    x = 609.51

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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.