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Finding the Fourth Proportional to 1,017.29, 1,411.05 and 980.40

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Solution

The fourth proportional to 1,017.29, 1,411.05 and 980.40 is: 1,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.29 : 1,411.05 = 980.40 : x
  2. Step 2: Convert to fraction form
    1,017.29/1,411.05 = 980.40/x
  3. Step 3: Cross multiply
    1,017.29x = 1,411.05 × 980.40
  4. Step 4: Simplify right side
    1,017.29x = 1,383,402.39
  5. Step 5: Solve for x
    x = 1,383,402.39/1,017.29
  6. Step 6: Final answer
    x = 1,359.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.