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Finding the Fourth Proportional to 987.59, 1,361.85 and 848.17

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Solution

The fourth proportional to 987.59, 1,361.85 and 848.17 is: 1,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.59 : 1,361.85 = 848.17 : x
  2. Step 2: Convert to fraction form
    987.59/1,361.85 = 848.17/x
  3. Step 3: Cross multiply
    987.59x = 1,361.85 × 848.17
  4. Step 4: Simplify right side
    987.59x = 1,155,076.91
  5. Step 5: Solve for x
    x = 1,155,076.91/987.59
  6. Step 6: Final answer
    x = 1,169.59

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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.