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Finding the Fourth Proportional to 879.92, 1,317.71 and 513.60

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Solution

The fourth proportional to 879.92, 1,317.71 and 513.60 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.92 : 1,317.71 = 513.60 : x
  2. Step 2: Convert to fraction form
    879.92/1,317.71 = 513.60/x
  3. Step 3: Cross multiply
    879.92x = 1,317.71 × 513.60
  4. Step 4: Simplify right side
    879.92x = 676,775.86
  5. Step 5: Solve for x
    x = 676,775.86/879.92
  6. Step 6: Final answer
    x = 769.13

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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.