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Finding the Fourth Proportional to 986.62, 1,360.92 and 654.91

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Solution

The fourth proportional to 986.62, 1,360.92 and 654.91 is: 903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.62 : 1,360.92 = 654.91 : x
  2. Step 2: Convert to fraction form
    986.62/1,360.92 = 654.91/x
  3. Step 3: Cross multiply
    986.62x = 1,360.92 × 654.91
  4. Step 4: Simplify right side
    986.62x = 891,280.12
  5. Step 5: Solve for x
    x = 891,280.12/986.62
  6. Step 6: Final answer
    x = 903.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.