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Finding the Fourth Proportional to 971.46, 1,447.20 and 927.18

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Solution

The fourth proportional to 971.46, 1,447.20 and 927.18 is: 1,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.46 : 1,447.20 = 927.18 : x
  2. Step 2: Convert to fraction form
    971.46/1,447.20 = 927.18/x
  3. Step 3: Cross multiply
    971.46x = 1,447.20 × 927.18
  4. Step 4: Simplify right side
    971.46x = 1,341,814.90
  5. Step 5: Solve for x
    x = 1,341,814.90/971.46
  6. Step 6: Final answer
    x = 1,381.24

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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.