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Finding the Fourth Proportional to 982.66, 1,356.03 and 540.52

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Solution

The fourth proportional to 982.66, 1,356.03 and 540.52 is: 745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.66 : 1,356.03 = 540.52 : x
  2. Step 2: Convert to fraction form
    982.66/1,356.03 = 540.52/x
  3. Step 3: Cross multiply
    982.66x = 1,356.03 × 540.52
  4. Step 4: Simplify right side
    982.66x = 732,961.34
  5. Step 5: Solve for x
    x = 732,961.34/982.66
  6. Step 6: Final answer
    x = 745.90

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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.