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Finding the Fourth Proportional to 1,331.82, 2,005.47 and 987.60

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Solution

The fourth proportional to 1,331.82, 2,005.47 and 987.60 is: 1,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.82 : 2,005.47 = 987.60 : x
  2. Step 2: Convert to fraction form
    1,331.82/2,005.47 = 987.60/x
  3. Step 3: Cross multiply
    1,331.82x = 2,005.47 × 987.60
  4. Step 4: Simplify right side
    1,331.82x = 1,980,602.17
  5. Step 5: Solve for x
    x = 1,980,602.17/1,331.82
  6. Step 6: Final answer
    x = 1,487.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.