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Finding the Fourth Proportional to 986.38, 1,359.64 and 749.56

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Solution

The fourth proportional to 986.38, 1,359.64 and 749.56 is: 1,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.38 : 1,359.64 = 749.56 : x
  2. Step 2: Convert to fraction form
    986.38/1,359.64 = 749.56/x
  3. Step 3: Cross multiply
    986.38x = 1,359.64 × 749.56
  4. Step 4: Simplify right side
    986.38x = 1,019,131.76
  5. Step 5: Solve for x
    x = 1,019,131.76/986.38
  6. Step 6: Final answer
    x = 1,033.20

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1.5x scale

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.