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Finding the Fourth Proportional to 1,324.69, 1,986.96 and 400.24

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Solution

The fourth proportional to 1,324.69, 1,986.96 and 400.24 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.69 : 1,986.96 = 400.24 : x
  2. Step 2: Convert to fraction form
    1,324.69/1,986.96 = 400.24/x
  3. Step 3: Cross multiply
    1,324.69x = 1,986.96 × 400.24
  4. Step 4: Simplify right side
    1,324.69x = 795,264.86
  5. Step 5: Solve for x
    x = 795,264.86/1,324.69
  6. Step 6: Final answer
    x = 600.34

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1.5x scale

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.