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Finding the Fourth Proportional to 744.01, 1,027.24 and 464.67

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Solution

The fourth proportional to 744.01, 1,027.24 and 464.67 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.01 : 1,027.24 = 464.67 : x
  2. Step 2: Convert to fraction form
    744.01/1,027.24 = 464.67/x
  3. Step 3: Cross multiply
    744.01x = 1,027.24 × 464.67
  4. Step 4: Simplify right side
    744.01x = 477,326.45
  5. Step 5: Solve for x
    x = 477,326.45/744.01
  6. Step 6: Final answer
    x = 641.56

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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.