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Finding the Fourth Proportional to 982.57, 1,356.60 and 758.10

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Solution

The fourth proportional to 982.57, 1,356.60 and 758.10 is: 1,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.57 : 1,356.60 = 758.10 : x
  2. Step 2: Convert to fraction form
    982.57/1,356.60 = 758.10/x
  3. Step 3: Cross multiply
    982.57x = 1,356.60 × 758.10
  4. Step 4: Simplify right side
    982.57x = 1,028,438.46
  5. Step 5: Solve for x
    x = 1,028,438.46/982.57
  6. Step 6: Final answer
    x = 1,046.68

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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.