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Finding the Fourth Proportional to 458.25, 630.93 and 379.27

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Solution

The fourth proportional to 458.25, 630.93 and 379.27 is: 522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 630.93 = 379.27 : x
  2. Step 2: Convert to fraction form
    458.25/630.93 = 379.27/x
  3. Step 3: Cross multiply
    458.25x = 630.93 × 379.27
  4. Step 4: Simplify right side
    458.25x = 239,292.82
  5. Step 5: Solve for x
    x = 239,292.82/458.25
  6. Step 6: Final answer
    x = 522.19

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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.