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Finding the Fourth Proportional to 1,324.95, 1,987.29 and 400.53

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Solution

The fourth proportional to 1,324.95, 1,987.29 and 400.53 is: 600.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.95 : 1,987.29 = 400.53 : x
  2. Step 2: Convert to fraction form
    1,324.95/1,987.29 = 400.53/x
  3. Step 3: Cross multiply
    1,324.95x = 1,987.29 × 400.53
  4. Step 4: Simplify right side
    1,324.95x = 795,969.26
  5. Step 5: Solve for x
    x = 795,969.26/1,324.95
  6. Step 6: Final answer
    x = 600.75

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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.