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Finding the Fourth Proportional to 494.36, 745.28 and 467.90

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Solution

The fourth proportional to 494.36, 745.28 and 467.90 is: 705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.36 : 745.28 = 467.90 : x
  2. Step 2: Convert to fraction form
    494.36/745.28 = 467.90/x
  3. Step 3: Cross multiply
    494.36x = 745.28 × 467.90
  4. Step 4: Simplify right side
    494.36x = 348,713.96
  5. Step 5: Solve for x
    x = 348,713.96/494.36
  6. Step 6: Final answer
    x = 705.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.