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Finding the Fourth Proportional to 744.07, 1,027.30 and 464.69

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Solution

The fourth proportional to 744.07, 1,027.30 and 464.69 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.07 : 1,027.30 = 464.69 : x
  2. Step 2: Convert to fraction form
    744.07/1,027.30 = 464.69/x
  3. Step 3: Cross multiply
    744.07x = 1,027.30 × 464.69
  4. Step 4: Simplify right side
    744.07x = 477,378.31
  5. Step 5: Solve for x
    x = 477,378.31/744.07
  6. Step 6: Final answer
    x = 641.58

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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.