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Finding the Fourth Proportional to 650.62, 974.34 and 342.72

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Solution

The fourth proportional to 650.62, 974.34 and 342.72 is: 513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 974.34 = 342.72 : x
  2. Step 2: Convert to fraction form
    650.62/974.34 = 342.72/x
  3. Step 3: Cross multiply
    650.62x = 974.34 × 342.72
  4. Step 4: Simplify right side
    650.62x = 333,925.80
  5. Step 5: Solve for x
    x = 333,925.80/650.62
  6. Step 6: Final answer
    x = 513.24

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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.