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Finding the Fourth Proportional to 986.38, 1,360.56 and 687.14

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Solution

The fourth proportional to 986.38, 1,360.56 and 687.14 is: 947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.38 : 1,360.56 = 687.14 : x
  2. Step 2: Convert to fraction form
    986.38/1,360.56 = 687.14/x
  3. Step 3: Cross multiply
    986.38x = 1,360.56 × 687.14
  4. Step 4: Simplify right side
    986.38x = 934,895.20
  5. Step 5: Solve for x
    x = 934,895.20/986.38
  6. Step 6: Final answer
    x = 947.80

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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.