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Finding the Fourth Proportional to 744.45, 1,027.01 and 523.55

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Solution

The fourth proportional to 744.45, 1,027.01 and 523.55 is: 722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.45 : 1,027.01 = 523.55 : x
  2. Step 2: Convert to fraction form
    744.45/1,027.01 = 523.55/x
  3. Step 3: Cross multiply
    744.45x = 1,027.01 × 523.55
  4. Step 4: Simplify right side
    744.45x = 537,685.95
  5. Step 5: Solve for x
    x = 537,685.95/744.45
  6. Step 6: Final answer
    x = 722.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.