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Finding the Fourth Proportional to 1,037.52, 1,546.38 and 979.16

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Solution

The fourth proportional to 1,037.52, 1,546.38 and 979.16 is: 1,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.52 : 1,546.38 = 979.16 : x
  2. Step 2: Convert to fraction form
    1,037.52/1,546.38 = 979.16/x
  3. Step 3: Cross multiply
    1,037.52x = 1,546.38 × 979.16
  4. Step 4: Simplify right side
    1,037.52x = 1,514,145.71
  5. Step 5: Solve for x
    x = 1,514,145.71/1,037.52
  6. Step 6: Final answer
    x = 1,459.39

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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.