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Finding the Fourth Proportional to 987.54, 1,361.88 and 738.60

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Solution

The fourth proportional to 987.54, 1,361.88 and 738.60 is: 1,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.54 : 1,361.88 = 738.60 : x
  2. Step 2: Convert to fraction form
    987.54/1,361.88 = 738.60/x
  3. Step 3: Cross multiply
    987.54x = 1,361.88 × 738.60
  4. Step 4: Simplify right side
    987.54x = 1,005,884.57
  5. Step 5: Solve for x
    x = 1,005,884.57/987.54
  6. Step 6: Final answer
    x = 1,018.58

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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.