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Finding the Fourth Proportional to 752.69, 1,128.04 and 290.23

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Solution

The fourth proportional to 752.69, 1,128.04 and 290.23 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.69 : 1,128.04 = 290.23 : x
  2. Step 2: Convert to fraction form
    752.69/1,128.04 = 290.23/x
  3. Step 3: Cross multiply
    752.69x = 1,128.04 × 290.23
  4. Step 4: Simplify right side
    752.69x = 327,387.50
  5. Step 5: Solve for x
    x = 327,387.50/752.69
  6. Step 6: Final answer
    x = 434.96

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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.