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Finding the Fourth Proportional to 616.77, 926.61 and 397.81

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Solution

The fourth proportional to 616.77, 926.61 and 397.81 is: 597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.77 : 926.61 = 397.81 : x
  2. Step 2: Convert to fraction form
    616.77/926.61 = 397.81/x
  3. Step 3: Cross multiply
    616.77x = 926.61 × 397.81
  4. Step 4: Simplify right side
    616.77x = 368,614.72
  5. Step 5: Solve for x
    x = 368,614.72/616.77
  6. Step 6: Final answer
    x = 597.65

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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.