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Finding the Fourth Proportional to 1,505.76, 2,077.92 and 980.80

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Solution

The fourth proportional to 1,505.76, 2,077.92 and 980.80 is: 1,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.76 : 2,077.92 = 980.80 : x
  2. Step 2: Convert to fraction form
    1,505.76/2,077.92 = 980.80/x
  3. Step 3: Cross multiply
    1,505.76x = 2,077.92 × 980.80
  4. Step 4: Simplify right side
    1,505.76x = 2,038,023.94
  5. Step 5: Solve for x
    x = 2,038,023.94/1,505.76
  6. Step 6: Final answer
    x = 1,353.49

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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.