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Finding the Fourth Proportional to 752.51, 1,128.80 and 290.13

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Solution

The fourth proportional to 752.51, 1,128.80 and 290.13 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.51 : 1,128.80 = 290.13 : x
  2. Step 2: Convert to fraction form
    752.51/1,128.80 = 290.13/x
  3. Step 3: Cross multiply
    752.51x = 1,128.80 × 290.13
  4. Step 4: Simplify right side
    752.51x = 327,498.74
  5. Step 5: Solve for x
    x = 327,498.74/752.51
  6. Step 6: Final answer
    x = 435.21

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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.