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Finding the Fourth Proportional to 879.38, 1,316.33 and 648.53

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Solution

The fourth proportional to 879.38, 1,316.33 and 648.53 is: 970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.38 : 1,316.33 = 648.53 : x
  2. Step 2: Convert to fraction form
    879.38/1,316.33 = 648.53/x
  3. Step 3: Cross multiply
    879.38x = 1,316.33 × 648.53
  4. Step 4: Simplify right side
    879.38x = 853,679.49
  5. Step 5: Solve for x
    x = 853,679.49/879.38
  6. Step 6: Final answer
    x = 970.77

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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.