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Finding the Fourth Proportional to 753.78, 1,040.19 and 422.24

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Solution

The fourth proportional to 753.78, 1,040.19 and 422.24 is: 582.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.78 : 1,040.19 = 422.24 : x
  2. Step 2: Convert to fraction form
    753.78/1,040.19 = 422.24/x
  3. Step 3: Cross multiply
    753.78x = 1,040.19 × 422.24
  4. Step 4: Simplify right side
    753.78x = 439,204.62
  5. Step 5: Solve for x
    x = 439,204.62/753.78
  6. Step 6: Final answer
    x = 582.67

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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.