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Finding the Fourth Proportional to 616.42, 922.34 and 555.78

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Solution

The fourth proportional to 616.42, 922.34 and 555.78 is: 831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.42 : 922.34 = 555.78 : x
  2. Step 2: Convert to fraction form
    616.42/922.34 = 555.78/x
  3. Step 3: Cross multiply
    616.42x = 922.34 × 555.78
  4. Step 4: Simplify right side
    616.42x = 512,618.13
  5. Step 5: Solve for x
    x = 512,618.13/616.42
  6. Step 6: Final answer
    x = 831.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.