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Finding the Fourth Proportional to 987.06, 1,361.38 and 637.14

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Solution

The fourth proportional to 987.06, 1,361.38 and 637.14 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.06 : 1,361.38 = 637.14 : x
  2. Step 2: Convert to fraction form
    987.06/1,361.38 = 637.14/x
  3. Step 3: Cross multiply
    987.06x = 1,361.38 × 637.14
  4. Step 4: Simplify right side
    987.06x = 867,389.65
  5. Step 5: Solve for x
    x = 867,389.65/987.06
  6. Step 6: Final answer
    x = 878.76

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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.