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Finding the Fourth Proportional to 865.49, 1,296.50 and 402.63

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Solution

The fourth proportional to 865.49, 1,296.50 and 402.63 is: 603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.49 : 1,296.50 = 402.63 : x
  2. Step 2: Convert to fraction form
    865.49/1,296.50 = 402.63/x
  3. Step 3: Cross multiply
    865.49x = 1,296.50 × 402.63
  4. Step 4: Simplify right side
    865.49x = 522,007.78
  5. Step 5: Solve for x
    x = 522,007.78/865.49
  6. Step 6: Final answer
    x = 603.14

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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.