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Finding the Fourth Proportional to 987.24, 1,361.96 and 650.70

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Solution

The fourth proportional to 987.24, 1,361.96 and 650.70 is: 897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.24 : 1,361.96 = 650.70 : x
  2. Step 2: Convert to fraction form
    987.24/1,361.96 = 650.70/x
  3. Step 3: Cross multiply
    987.24x = 1,361.96 × 650.70
  4. Step 4: Simplify right side
    987.24x = 886,224.12
  5. Step 5: Solve for x
    x = 886,224.12/987.24
  6. Step 6: Final answer
    x = 897.68

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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.