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Finding the Fourth Proportional to 987.57, 1,362.14 and 633.50

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Solution

The fourth proportional to 987.57, 1,362.14 and 633.50 is: 873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.57 : 1,362.14 = 633.50 : x
  2. Step 2: Convert to fraction form
    987.57/1,362.14 = 633.50/x
  3. Step 3: Cross multiply
    987.57x = 1,362.14 × 633.50
  4. Step 4: Simplify right side
    987.57x = 862,915.69
  5. Step 5: Solve for x
    x = 862,915.69/987.57
  6. Step 6: Final answer
    x = 873.78

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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.