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Finding the Fourth Proportional to 915.88, 1,370.58 and 854.86

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Solution

The fourth proportional to 915.88, 1,370.58 and 854.86 is: 1,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.88 : 1,370.58 = 854.86 : x
  2. Step 2: Convert to fraction form
    915.88/1,370.58 = 854.86/x
  3. Step 3: Cross multiply
    915.88x = 1,370.58 × 854.86
  4. Step 4: Simplify right side
    915.88x = 1,171,654.02
  5. Step 5: Solve for x
    x = 1,171,654.02/915.88
  6. Step 6: Final answer
    x = 1,279.27

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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.