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Finding the Fourth Proportional to 871.02, 1,306.98 and 864.36

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Solution

The fourth proportional to 871.02, 1,306.98 and 864.36 is: 1,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.02 : 1,306.98 = 864.36 : x
  2. Step 2: Convert to fraction form
    871.02/1,306.98 = 864.36/x
  3. Step 3: Cross multiply
    871.02x = 1,306.98 × 864.36
  4. Step 4: Simplify right side
    871.02x = 1,129,701.23
  5. Step 5: Solve for x
    x = 1,129,701.23/871.02
  6. Step 6: Final answer
    x = 1,296.99

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Why These Related Problems?

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