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Finding the Fourth Proportional to 865.02, 1,296.27 and 426.14

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Solution

The fourth proportional to 865.02, 1,296.27 and 426.14 is: 638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.02 : 1,296.27 = 426.14 : x
  2. Step 2: Convert to fraction form
    865.02/1,296.27 = 426.14/x
  3. Step 3: Cross multiply
    865.02x = 1,296.27 × 426.14
  4. Step 4: Simplify right side
    865.02x = 552,386.02
  5. Step 5: Solve for x
    x = 552,386.02/865.02
  6. Step 6: Final answer
    x = 638.58

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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.