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Finding the Fourth Proportional to 565.45, 781.55 and 521.71

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Solution

The fourth proportional to 565.45, 781.55 and 521.71 is: 721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 781.55 = 521.71 : x
  2. Step 2: Convert to fraction form
    565.45/781.55 = 521.71/x
  3. Step 3: Cross multiply
    565.45x = 781.55 × 521.71
  4. Step 4: Simplify right side
    565.45x = 407,739.84
  5. Step 5: Solve for x
    x = 407,739.84/565.45
  6. Step 6: Final answer
    x = 721.09

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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.