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Finding the Fourth Proportional to 616.27, 923.59 and 342.22

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Solution

The fourth proportional to 616.27, 923.59 and 342.22 is: 512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.27 : 923.59 = 342.22 : x
  2. Step 2: Convert to fraction form
    616.27/923.59 = 342.22/x
  3. Step 3: Cross multiply
    616.27x = 923.59 × 342.22
  4. Step 4: Simplify right side
    616.27x = 316,070.97
  5. Step 5: Solve for x
    x = 316,070.97/616.27
  6. Step 6: Final answer
    x = 512.88

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1.5x scale

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.