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Finding the Fourth Proportional to 752.72, 1,126.68 and 405.56

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Solution

The fourth proportional to 752.72, 1,126.68 and 405.56 is: 607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,126.68 = 405.56 : x
  2. Step 2: Convert to fraction form
    752.72/1,126.68 = 405.56/x
  3. Step 3: Cross multiply
    752.72x = 1,126.68 × 405.56
  4. Step 4: Simplify right side
    752.72x = 456,936.34
  5. Step 5: Solve for x
    x = 456,936.34/752.72
  6. Step 6: Final answer
    x = 607.05

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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.