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Finding the Fourth Proportional to 877.48, 1,316.27 and 748.38

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Solution

The fourth proportional to 877.48, 1,316.27 and 748.38 is: 1,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.48 : 1,316.27 = 748.38 : x
  2. Step 2: Convert to fraction form
    877.48/1,316.27 = 748.38/x
  3. Step 3: Cross multiply
    877.48x = 1,316.27 × 748.38
  4. Step 4: Simplify right side
    877.48x = 985,066.40
  5. Step 5: Solve for x
    x = 985,066.40/877.48
  6. Step 6: Final answer
    x = 1,122.61

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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.