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Finding the Fourth Proportional to 565.46, 781.18 and 483.42

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Solution

The fourth proportional to 565.46, 781.18 and 483.42 is: 667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.46 : 781.18 = 483.42 : x
  2. Step 2: Convert to fraction form
    565.46/781.18 = 483.42/x
  3. Step 3: Cross multiply
    565.46x = 781.18 × 483.42
  4. Step 4: Simplify right side
    565.46x = 377,638.04
  5. Step 5: Solve for x
    x = 377,638.04/565.46
  6. Step 6: Final answer
    x = 667.84

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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.