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Finding the Fourth Proportional to 615.78, 916.11 and 592.02

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Solution

The fourth proportional to 615.78, 916.11 and 592.02 is: 880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.78 : 916.11 = 592.02 : x
  2. Step 2: Convert to fraction form
    615.78/916.11 = 592.02/x
  3. Step 3: Cross multiply
    615.78x = 916.11 × 592.02
  4. Step 4: Simplify right side
    615.78x = 542,355.44
  5. Step 5: Solve for x
    x = 542,355.44/615.78
  6. Step 6: Final answer
    x = 880.76

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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.