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Finding the Fourth Proportional to 871.80, 1,297.54 and 869.10

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Solution

The fourth proportional to 871.80, 1,297.54 and 869.10 is: 1,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.80 : 1,297.54 = 869.10 : x
  2. Step 2: Convert to fraction form
    871.80/1,297.54 = 869.10/x
  3. Step 3: Cross multiply
    871.80x = 1,297.54 × 869.10
  4. Step 4: Simplify right side
    871.80x = 1,127,689.84
  5. Step 5: Solve for x
    x = 1,127,689.84/871.80
  6. Step 6: Final answer
    x = 1,293.52

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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.