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Finding the Fourth Proportional to 871.90, 1,306.64 and 655.23

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Solution

The fourth proportional to 871.90, 1,306.64 and 655.23 is: 981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.90 : 1,306.64 = 655.23 : x
  2. Step 2: Convert to fraction form
    871.90/1,306.64 = 655.23/x
  3. Step 3: Cross multiply
    871.90x = 1,306.64 × 655.23
  4. Step 4: Simplify right side
    871.90x = 856,139.92
  5. Step 5: Solve for x
    x = 856,139.92/871.90
  6. Step 6: Final answer
    x = 981.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.