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Finding the Fourth Proportional to 1,001.00, 1,382.51 and 987.35

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Solution

The fourth proportional to 1,001.00, 1,382.51 and 987.35 is: 1,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.00 : 1,382.51 = 987.35 : x
  2. Step 2: Convert to fraction form
    1,001.00/1,382.51 = 987.35/x
  3. Step 3: Cross multiply
    1,001.00x = 1,382.51 × 987.35
  4. Step 4: Simplify right side
    1,001.00x = 1,365,016.80
  5. Step 5: Solve for x
    x = 1,365,016.80/1,001.00
  6. Step 6: Final answer
    x = 1,363.65

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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.