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Finding the Fourth Proportional to 987.02, 1,361.52 and 637.71

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Solution

The fourth proportional to 987.02, 1,361.52 and 637.71 is: 879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.02 : 1,361.52 = 637.71 : x
  2. Step 2: Convert to fraction form
    987.02/1,361.52 = 637.71/x
  3. Step 3: Cross multiply
    987.02x = 1,361.52 × 637.71
  4. Step 4: Simplify right side
    987.02x = 868,254.92
  5. Step 5: Solve for x
    x = 868,254.92/987.02
  6. Step 6: Final answer
    x = 879.67

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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.