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Finding the Fourth Proportional to 1,451.06, 2,174.36 and 980.69

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Solution

The fourth proportional to 1,451.06, 2,174.36 and 980.69 is: 1,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.06 : 2,174.36 = 980.69 : x
  2. Step 2: Convert to fraction form
    1,451.06/2,174.36 = 980.69/x
  3. Step 3: Cross multiply
    1,451.06x = 2,174.36 × 980.69
  4. Step 4: Simplify right side
    1,451.06x = 2,132,373.11
  5. Step 5: Solve for x
    x = 2,132,373.11/1,451.06
  6. Step 6: Final answer
    x = 1,469.53

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1.5x scale

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.