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Finding the Fourth Proportional to 987.08, 1,476.97 and 812.12

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Solution

The fourth proportional to 987.08, 1,476.97 and 812.12 is: 1,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.08 : 1,476.97 = 812.12 : x
  2. Step 2: Convert to fraction form
    987.08/1,476.97 = 812.12/x
  3. Step 3: Cross multiply
    987.08x = 1,476.97 × 812.12
  4. Step 4: Simplify right side
    987.08x = 1,199,476.88
  5. Step 5: Solve for x
    x = 1,199,476.88/987.08
  6. Step 6: Final answer
    x = 1,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.