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Finding the Fourth Proportional to 947.16, 1,306.80 and 915.84

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Solution

The fourth proportional to 947.16, 1,306.80 and 915.84 is: 1,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,306.80 = 915.84 : x
  2. Step 2: Convert to fraction form
    947.16/1,306.80 = 915.84/x
  3. Step 3: Cross multiply
    947.16x = 1,306.80 × 915.84
  4. Step 4: Simplify right side
    947.16x = 1,196,819.71
  5. Step 5: Solve for x
    x = 1,196,819.71/947.16
  6. Step 6: Final answer
    x = 1,263.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.