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Finding the Fourth Proportional to 915.69, 1,364.16 and 871.61

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Solution

The fourth proportional to 915.69, 1,364.16 and 871.61 is: 1,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.69 : 1,364.16 = 871.61 : x
  2. Step 2: Convert to fraction form
    915.69/1,364.16 = 871.61/x
  3. Step 3: Cross multiply
    915.69x = 1,364.16 × 871.61
  4. Step 4: Simplify right side
    915.69x = 1,189,008.68
  5. Step 5: Solve for x
    x = 1,189,008.68/915.69
  6. Step 6: Final answer
    x = 1,298.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.