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Finding the Fourth Proportional to 616.08, 922.64 and 514.02

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Solution

The fourth proportional to 616.08, 922.64 and 514.02 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.08 : 922.64 = 514.02 : x
  2. Step 2: Convert to fraction form
    616.08/922.64 = 514.02/x
  3. Step 3: Cross multiply
    616.08x = 922.64 × 514.02
  4. Step 4: Simplify right side
    616.08x = 474,252.84
  5. Step 5: Solve for x
    x = 474,252.84/616.08
  6. Step 6: Final answer
    x = 769.79

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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.