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Finding the Fourth Proportional to 565.50, 781.92 and 448.86

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Solution

The fourth proportional to 565.50, 781.92 and 448.86 is: 620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.50 : 781.92 = 448.86 : x
  2. Step 2: Convert to fraction form
    565.50/781.92 = 448.86/x
  3. Step 3: Cross multiply
    565.50x = 781.92 × 448.86
  4. Step 4: Simplify right side
    565.50x = 350,972.61
  5. Step 5: Solve for x
    x = 350,972.61/565.50
  6. Step 6: Final answer
    x = 620.64

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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.