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Finding the Fourth Proportional to 1,033.01, 1,549.53 and 408.29

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Solution

The fourth proportional to 1,033.01, 1,549.53 and 408.29 is: 612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.01 : 1,549.53 = 408.29 : x
  2. Step 2: Convert to fraction form
    1,033.01/1,549.53 = 408.29/x
  3. Step 3: Cross multiply
    1,033.01x = 1,549.53 × 408.29
  4. Step 4: Simplify right side
    1,033.01x = 632,649.86
  5. Step 5: Solve for x
    x = 632,649.86/1,033.01
  6. Step 6: Final answer
    x = 612.44

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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.