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Finding the Fourth Proportional to 1,139.04, 1,700.28 and 986.04

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Solution

The fourth proportional to 1,139.04, 1,700.28 and 986.04 is: 1,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.04 : 1,700.28 = 986.04 : x
  2. Step 2: Convert to fraction form
    1,139.04/1,700.28 = 986.04/x
  3. Step 3: Cross multiply
    1,139.04x = 1,700.28 × 986.04
  4. Step 4: Simplify right side
    1,139.04x = 1,676,544.09
  5. Step 5: Solve for x
    x = 1,676,544.09/1,139.04
  6. Step 6: Final answer
    x = 1,471.89

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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.