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Finding the Fourth Proportional to 982.69, 1,356.11 and 534.56

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Solution

The fourth proportional to 982.69, 1,356.11 and 534.56 is: 737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.69 : 1,356.11 = 534.56 : x
  2. Step 2: Convert to fraction form
    982.69/1,356.11 = 534.56/x
  3. Step 3: Cross multiply
    982.69x = 1,356.11 × 534.56
  4. Step 4: Simplify right side
    982.69x = 724,922.16
  5. Step 5: Solve for x
    x = 724,922.16/982.69
  6. Step 6: Final answer
    x = 737.69

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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.