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Finding the Fourth Proportional to 650.48, 974.95 and 342.17

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Solution

The fourth proportional to 650.48, 974.95 and 342.17 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.48 : 974.95 = 342.17 : x
  2. Step 2: Convert to fraction form
    650.48/974.95 = 342.17/x
  3. Step 3: Cross multiply
    650.48x = 974.95 × 342.17
  4. Step 4: Simplify right side
    650.48x = 333,596.93
  5. Step 5: Solve for x
    x = 333,596.93/650.48
  6. Step 6: Final answer
    x = 512.85

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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.