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Finding the Fourth Proportional to 1,569.76, 2,167.68 and 980.44

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Solution

The fourth proportional to 1,569.76, 2,167.68 and 980.44 is: 1,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.76 : 2,167.68 = 980.44 : x
  2. Step 2: Convert to fraction form
    1,569.76/2,167.68 = 980.44/x
  3. Step 3: Cross multiply
    1,569.76x = 2,167.68 × 980.44
  4. Step 4: Simplify right side
    1,569.76x = 2,125,280.18
  5. Step 5: Solve for x
    x = 2,125,280.18/1,569.76
  6. Step 6: Final answer
    x = 1,353.89

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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.