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Finding the Fourth Proportional to 745.33, 1,027.85 and 446.53

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Solution

The fourth proportional to 745.33, 1,027.85 and 446.53 is: 615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.33 : 1,027.85 = 446.53 : x
  2. Step 2: Convert to fraction form
    745.33/1,027.85 = 446.53/x
  3. Step 3: Cross multiply
    745.33x = 1,027.85 × 446.53
  4. Step 4: Simplify right side
    745.33x = 458,963.63
  5. Step 5: Solve for x
    x = 458,963.63/745.33
  6. Step 6: Final answer
    x = 615.79

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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.