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Finding the Fourth Proportional to 865.25, 1,297.59 and 280.10

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Solution

The fourth proportional to 865.25, 1,297.59 and 280.10 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.25 : 1,297.59 = 280.10 : x
  2. Step 2: Convert to fraction form
    865.25/1,297.59 = 280.10/x
  3. Step 3: Cross multiply
    865.25x = 1,297.59 × 280.10
  4. Step 4: Simplify right side
    865.25x = 363,455.08
  5. Step 5: Solve for x
    x = 363,455.08/865.25
  6. Step 6: Final answer
    x = 420.06

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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.