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Finding the Fourth Proportional to 917.72, 1,264.98 and 638.27

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Solution

The fourth proportional to 917.72, 1,264.98 and 638.27 is: 879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.72 : 1,264.98 = 638.27 : x
  2. Step 2: Convert to fraction form
    917.72/1,264.98 = 638.27/x
  3. Step 3: Cross multiply
    917.72x = 1,264.98 × 638.27
  4. Step 4: Simplify right side
    917.72x = 807,398.78
  5. Step 5: Solve for x
    x = 807,398.78/917.72
  6. Step 6: Final answer
    x = 879.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.