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Finding the Fourth Proportional to 616.40, 923.00 and 342.17

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Solution

The fourth proportional to 616.40, 923.00 and 342.17 is: 512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.40 : 923.00 = 342.17 : x
  2. Step 2: Convert to fraction form
    616.40/923.00 = 342.17/x
  3. Step 3: Cross multiply
    616.40x = 923.00 × 342.17
  4. Step 4: Simplify right side
    616.40x = 315,816.58
  5. Step 5: Solve for x
    x = 315,816.58/616.40
  6. Step 6: Final answer
    x = 512.36

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Double scale
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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.