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Finding the Fourth Proportional to 874.92, 1,304.55 and 864.12

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Solution

The fourth proportional to 874.92, 1,304.55 and 864.12 is: 1,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,304.55 = 864.12 : x
  2. Step 2: Convert to fraction form
    874.92/1,304.55 = 864.12/x
  3. Step 3: Cross multiply
    874.92x = 1,304.55 × 864.12
  4. Step 4: Simplify right side
    874.92x = 1,127,292.64
  5. Step 5: Solve for x
    x = 1,127,292.64/874.92
  6. Step 6: Final answer
    x = 1,288.45

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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.