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Finding the Fourth Proportional to 971.16, 1,447.08 and 869.04

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Solution

The fourth proportional to 971.16, 1,447.08 and 869.04 is: 1,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.16 : 1,447.08 = 869.04 : x
  2. Step 2: Convert to fraction form
    971.16/1,447.08 = 869.04/x
  3. Step 3: Cross multiply
    971.16x = 1,447.08 × 869.04
  4. Step 4: Simplify right side
    971.16x = 1,257,570.40
  5. Step 5: Solve for x
    x = 1,257,570.40/971.16
  6. Step 6: Final answer
    x = 1,294.92

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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.