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Finding the Fourth Proportional to 752.46, 1,127.70 and 423.51

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Solution

The fourth proportional to 752.46, 1,127.70 and 423.51 is: 634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.46 : 1,127.70 = 423.51 : x
  2. Step 2: Convert to fraction form
    752.46/1,127.70 = 423.51/x
  3. Step 3: Cross multiply
    752.46x = 1,127.70 × 423.51
  4. Step 4: Simplify right side
    752.46x = 477,592.23
  5. Step 5: Solve for x
    x = 477,592.23/752.46
  6. Step 6: Final answer
    x = 634.71

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1.5x scale

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.