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Finding the Fourth Proportional to 650.27, 974.13 and 577.55

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Solution

The fourth proportional to 650.27, 974.13 and 577.55 is: 865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.27 : 974.13 = 577.55 : x
  2. Step 2: Convert to fraction form
    650.27/974.13 = 577.55/x
  3. Step 3: Cross multiply
    650.27x = 974.13 × 577.55
  4. Step 4: Simplify right side
    650.27x = 562,603.91
  5. Step 5: Solve for x
    x = 562,603.91/650.27
  6. Step 6: Final answer
    x = 865.19

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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.