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Finding the Fourth Proportional to 982.78, 1,356.14 and 540.70

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Solution

The fourth proportional to 982.78, 1,356.14 and 540.70 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.78 : 1,356.14 = 540.70 : x
  2. Step 2: Convert to fraction form
    982.78/1,356.14 = 540.70/x
  3. Step 3: Cross multiply
    982.78x = 1,356.14 × 540.70
  4. Step 4: Simplify right side
    982.78x = 733,264.90
  5. Step 5: Solve for x
    x = 733,264.90/982.78
  6. Step 6: Final answer
    x = 746.11

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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.