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Finding the Fourth Proportional to 870.38, 1,297.17 and 869.01

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Solution

The fourth proportional to 870.38, 1,297.17 and 869.01 is: 1,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.38 : 1,297.17 = 869.01 : x
  2. Step 2: Convert to fraction form
    870.38/1,297.17 = 869.01/x
  3. Step 3: Cross multiply
    870.38x = 1,297.17 × 869.01
  4. Step 4: Simplify right side
    870.38x = 1,127,253.70
  5. Step 5: Solve for x
    x = 1,127,253.70/870.38
  6. Step 6: Final answer
    x = 1,295.13

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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.