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Finding the Fourth Proportional to 650.57, 974.59 and 488.93

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Solution

The fourth proportional to 650.57, 974.59 and 488.93 is: 732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.57 : 974.59 = 488.93 : x
  2. Step 2: Convert to fraction form
    650.57/974.59 = 488.93/x
  3. Step 3: Cross multiply
    650.57x = 974.59 × 488.93
  4. Step 4: Simplify right side
    650.57x = 476,500.19
  5. Step 5: Solve for x
    x = 476,500.19/650.57
  6. Step 6: Final answer
    x = 732.44

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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.