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Finding the Fourth Proportional to 752.34, 1,128.56 and 341.51

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Solution

The fourth proportional to 752.34, 1,128.56 and 341.51 is: 512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.34 : 1,128.56 = 341.51 : x
  2. Step 2: Convert to fraction form
    752.34/1,128.56 = 341.51/x
  3. Step 3: Cross multiply
    752.34x = 1,128.56 × 341.51
  4. Step 4: Simplify right side
    752.34x = 385,412.82
  5. Step 5: Solve for x
    x = 385,412.82/752.34
  6. Step 6: Final answer
    x = 512.28

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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.