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Finding the Fourth Proportional to 871.16, 1,197.08 and 696.20

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Solution

The fourth proportional to 871.16, 1,197.08 and 696.20 is: 956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.16 : 1,197.08 = 696.20 : x
  2. Step 2: Convert to fraction form
    871.16/1,197.08 = 696.20/x
  3. Step 3: Cross multiply
    871.16x = 1,197.08 × 696.20
  4. Step 4: Simplify right side
    871.16x = 833,400.24
  5. Step 5: Solve for x
    x = 833,400.24/871.16
  6. Step 6: Final answer
    x = 956.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.