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Finding the Fourth Proportional to 616.95, 921.92 and 442.80

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Solution

The fourth proportional to 616.95, 921.92 and 442.80 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.95 : 921.92 = 442.80 : x
  2. Step 2: Convert to fraction form
    616.95/921.92 = 442.80/x
  3. Step 3: Cross multiply
    616.95x = 921.92 × 442.80
  4. Step 4: Simplify right side
    616.95x = 408,223.96
  5. Step 5: Solve for x
    x = 408,223.96/616.95
  6. Step 6: Final answer
    x = 661.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.