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Finding the Fourth Proportional to 979.26, 1,468.98 and 865.02

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Solution

The fourth proportional to 979.26, 1,468.98 and 865.02 is: 1,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.26 : 1,468.98 = 865.02 : x
  2. Step 2: Convert to fraction form
    979.26/1,468.98 = 865.02/x
  3. Step 3: Cross multiply
    979.26x = 1,468.98 × 865.02
  4. Step 4: Simplify right side
    979.26x = 1,270,697.08
  5. Step 5: Solve for x
    x = 1,270,697.08/979.26
  6. Step 6: Final answer
    x = 1,297.61

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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.