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Finding the Fourth Proportional to 881.16, 1,215.45 and 706.20

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Solution

The fourth proportional to 881.16, 1,215.45 and 706.20 is: 974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.16 : 1,215.45 = 706.20 : x
  2. Step 2: Convert to fraction form
    881.16/1,215.45 = 706.20/x
  3. Step 3: Cross multiply
    881.16x = 1,215.45 × 706.20
  4. Step 4: Simplify right side
    881.16x = 858,350.79
  5. Step 5: Solve for x
    x = 858,350.79/881.16
  6. Step 6: Final answer
    x = 974.11

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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.