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Finding the Fourth Proportional to 813.73, 1,117.07 and 748.12

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Solution

The fourth proportional to 813.73, 1,117.07 and 748.12 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.73 : 1,117.07 = 748.12 : x
  2. Step 2: Convert to fraction form
    813.73/1,117.07 = 748.12/x
  3. Step 3: Cross multiply
    813.73x = 1,117.07 × 748.12
  4. Step 4: Simplify right side
    813.73x = 835,702.41
  5. Step 5: Solve for x
    x = 835,702.41/813.73
  6. Step 6: Final answer
    x = 1,027.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.