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Finding the Fourth Proportional to 987.39, 1,360.17 and 765.95

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Solution

The fourth proportional to 987.39, 1,360.17 and 765.95 is: 1,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.39 : 1,360.17 = 765.95 : x
  2. Step 2: Convert to fraction form
    987.39/1,360.17 = 765.95/x
  3. Step 3: Cross multiply
    987.39x = 1,360.17 × 765.95
  4. Step 4: Simplify right side
    987.39x = 1,041,815.41
  5. Step 5: Solve for x
    x = 1,041,815.41/987.39
  6. Step 6: Final answer
    x = 1,055.12

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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.