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Finding the Fourth Proportional to 987.64, 1,361.50 and 691.96

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Solution

The fourth proportional to 987.64, 1,361.50 and 691.96 is: 953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.64 : 1,361.50 = 691.96 : x
  2. Step 2: Convert to fraction form
    987.64/1,361.50 = 691.96/x
  3. Step 3: Cross multiply
    987.64x = 1,361.50 × 691.96
  4. Step 4: Simplify right side
    987.64x = 942,103.54
  5. Step 5: Solve for x
    x = 942,103.54/987.64
  6. Step 6: Final answer
    x = 953.89

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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.