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Finding the Fourth Proportional to 650.62, 977.10 and 624.52

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Solution

The fourth proportional to 650.62, 977.10 and 624.52 is: 937.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.62 : 977.10 = 624.52 : x
  2. Step 2: Convert to fraction form
    650.62/977.10 = 624.52/x
  3. Step 3: Cross multiply
    650.62x = 977.10 × 624.52
  4. Step 4: Simplify right side
    650.62x = 610,218.49
  5. Step 5: Solve for x
    x = 610,218.49/650.62
  6. Step 6: Final answer
    x = 937.90

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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.