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Finding the Fourth Proportional to 494.23, 745.10 and 467.77

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Solution

The fourth proportional to 494.23, 745.10 and 467.77 is: 705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 745.10 = 467.77 : x
  2. Step 2: Convert to fraction form
    494.23/745.10 = 467.77/x
  3. Step 3: Cross multiply
    494.23x = 745.10 × 467.77
  4. Step 4: Simplify right side
    494.23x = 348,534.26
  5. Step 5: Solve for x
    x = 348,534.26/494.23
  6. Step 6: Final answer
    x = 705.21

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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.