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Finding the Fourth Proportional to 981.93, 1,355.12 and 562.38

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Solution

The fourth proportional to 981.93, 1,355.12 and 562.38 is: 776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.93 : 1,355.12 = 562.38 : x
  2. Step 2: Convert to fraction form
    981.93/1,355.12 = 562.38/x
  3. Step 3: Cross multiply
    981.93x = 1,355.12 × 562.38
  4. Step 4: Simplify right side
    981.93x = 762,092.39
  5. Step 5: Solve for x
    x = 762,092.39/981.93
  6. Step 6: Final answer
    x = 776.12

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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.