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Finding the Fourth Proportional to 1,175.92, 1,764.38 and 980.10

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Solution

The fourth proportional to 1,175.92, 1,764.38 and 980.10 is: 1,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.92 : 1,764.38 = 980.10 : x
  2. Step 2: Convert to fraction form
    1,175.92/1,764.38 = 980.10/x
  3. Step 3: Cross multiply
    1,175.92x = 1,764.38 × 980.10
  4. Step 4: Simplify right side
    1,175.92x = 1,729,271.29
  5. Step 5: Solve for x
    x = 1,729,271.29/1,175.92
  6. Step 6: Final answer
    x = 1,470.57

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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.