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Finding the Fourth Proportional to 867.72, 1,302 and 865.08

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Solution

The fourth proportional to 867.72, 1,302 and 865.08 is: 1,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.72 : 1,302 = 865.08 : x
  2. Step 2: Convert to fraction form
    867.72/1,302 = 865.08/x
  3. Step 3: Cross multiply
    867.72x = 1,302 × 865.08
  4. Step 4: Simplify right side
    867.72x = 1,126,334.16
  5. Step 5: Solve for x
    x = 1,126,334.16/867.72
  6. Step 6: Final answer
    x = 1,298.04

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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.