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Finding the Fourth Proportional to 865.08, 1,192.74 and 752.88

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Solution

The fourth proportional to 865.08, 1,192.74 and 752.88 is: 1,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,192.74 = 752.88 : x
  2. Step 2: Convert to fraction form
    865.08/1,192.74 = 752.88/x
  3. Step 3: Cross multiply
    865.08x = 1,192.74 × 752.88
  4. Step 4: Simplify right side
    865.08x = 897,990.09
  5. Step 5: Solve for x
    x = 897,990.09/865.08
  6. Step 6: Final answer
    x = 1,038.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.