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Finding the Fourth Proportional to 753.38, 1,130.25 and 406.56

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Solution

The fourth proportional to 753.38, 1,130.25 and 406.56 is: 609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.38 : 1,130.25 = 406.56 : x
  2. Step 2: Convert to fraction form
    753.38/1,130.25 = 406.56/x
  3. Step 3: Cross multiply
    753.38x = 1,130.25 × 406.56
  4. Step 4: Simplify right side
    753.38x = 459,514.44
  5. Step 5: Solve for x
    x = 459,514.44/753.38
  6. Step 6: Final answer
    x = 609.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.