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Finding the Fourth Proportional to 982.18, 1,355.41 and 562.71

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Solution

The fourth proportional to 982.18, 1,355.41 and 562.71 is: 776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.18 : 1,355.41 = 562.71 : x
  2. Step 2: Convert to fraction form
    982.18/1,355.41 = 562.71/x
  3. Step 3: Cross multiply
    982.18x = 1,355.41 × 562.71
  4. Step 4: Simplify right side
    982.18x = 762,702.76
  5. Step 5: Solve for x
    x = 762,702.76/982.18
  6. Step 6: Final answer
    x = 776.54

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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.