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Finding the Fourth Proportional to 1,324.58, 1,987.68 and 544.95

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Solution

The fourth proportional to 1,324.58, 1,987.68 and 544.95 is: 817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.58 : 1,987.68 = 544.95 : x
  2. Step 2: Convert to fraction form
    1,324.58/1,987.68 = 544.95/x
  3. Step 3: Cross multiply
    1,324.58x = 1,987.68 × 544.95
  4. Step 4: Simplify right side
    1,324.58x = 1,083,186.22
  5. Step 5: Solve for x
    x = 1,083,186.22/1,324.58
  6. Step 6: Final answer
    x = 817.76

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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.