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Finding the Fourth Proportional to 979.62, 1,461.27 and 886.20

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Solution

The fourth proportional to 979.62, 1,461.27 and 886.20 is: 1,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.62 : 1,461.27 = 886.20 : x
  2. Step 2: Convert to fraction form
    979.62/1,461.27 = 886.20/x
  3. Step 3: Cross multiply
    979.62x = 1,461.27 × 886.20
  4. Step 4: Simplify right side
    979.62x = 1,294,977.47
  5. Step 5: Solve for x
    x = 1,294,977.47/979.62
  6. Step 6: Final answer
    x = 1,321.92

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1.5x scale

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.