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Finding the Fourth Proportional to 616.56, 924.77 and 177.86

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Solution

The fourth proportional to 616.56, 924.77 and 177.86 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.56 : 924.77 = 177.86 : x
  2. Step 2: Convert to fraction form
    616.56/924.77 = 177.86/x
  3. Step 3: Cross multiply
    616.56x = 924.77 × 177.86
  4. Step 4: Simplify right side
    616.56x = 164,474.08
  5. Step 5: Solve for x
    x = 164,474.08/616.56
  6. Step 6: Final answer
    x = 266.76

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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.