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Finding the Fourth Proportional to 752.78, 1,128.06 and 290.06

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Solution

The fourth proportional to 752.78, 1,128.06 and 290.06 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.78 : 1,128.06 = 290.06 : x
  2. Step 2: Convert to fraction form
    752.78/1,128.06 = 290.06/x
  3. Step 3: Cross multiply
    752.78x = 1,128.06 × 290.06
  4. Step 4: Simplify right side
    752.78x = 327,205.08
  5. Step 5: Solve for x
    x = 327,205.08/752.78
  6. Step 6: Final answer
    x = 434.66

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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.