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Finding the Fourth Proportional to 987.18, 1,363.08 and 765.74

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Solution

The fourth proportional to 987.18, 1,363.08 and 765.74 is: 1,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.18 : 1,363.08 = 765.74 : x
  2. Step 2: Convert to fraction form
    987.18/1,363.08 = 765.74/x
  3. Step 3: Cross multiply
    987.18x = 1,363.08 × 765.74
  4. Step 4: Simplify right side
    987.18x = 1,043,764.88
  5. Step 5: Solve for x
    x = 1,043,764.88/987.18
  6. Step 6: Final answer
    x = 1,057.32

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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.