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Finding the Fourth Proportional to 865.68, 1,290.12 and 838.01

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Solution

The fourth proportional to 865.68, 1,290.12 and 838.01 is: 1,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.68 : 1,290.12 = 838.01 : x
  2. Step 2: Convert to fraction form
    865.68/1,290.12 = 838.01/x
  3. Step 3: Cross multiply
    865.68x = 1,290.12 × 838.01
  4. Step 4: Simplify right side
    865.68x = 1,081,127.01
  5. Step 5: Solve for x
    x = 1,081,127.01/865.68
  6. Step 6: Final answer
    x = 1,248.88

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1.5x scale

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.