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Finding the Fourth Proportional to 1,126.51, 1,687.67 and 980.71

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Solution

The fourth proportional to 1,126.51, 1,687.67 and 980.71 is: 1,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.51 : 1,687.67 = 980.71 : x
  2. Step 2: Convert to fraction form
    1,126.51/1,687.67 = 980.71/x
  3. Step 3: Cross multiply
    1,126.51x = 1,687.67 × 980.71
  4. Step 4: Simplify right side
    1,126.51x = 1,655,109.40
  5. Step 5: Solve for x
    x = 1,655,109.40/1,126.51
  6. Step 6: Final answer
    x = 1,469.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.