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Finding the Fourth Proportional to 981.78, 1,353.56 and 841.31

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Solution

The fourth proportional to 981.78, 1,353.56 and 841.31 is: 1,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.78 : 1,353.56 = 841.31 : x
  2. Step 2: Convert to fraction form
    981.78/1,353.56 = 841.31/x
  3. Step 3: Cross multiply
    981.78x = 1,353.56 × 841.31
  4. Step 4: Simplify right side
    981.78x = 1,138,752.59
  5. Step 5: Solve for x
    x = 1,138,752.59/981.78
  6. Step 6: Final answer
    x = 1,159.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.