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Finding the Fourth Proportional to 461.48, 694.94 and 346.77

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Solution

The fourth proportional to 461.48, 694.94 and 346.77 is: 522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 694.94 = 346.77 : x
  2. Step 2: Convert to fraction form
    461.48/694.94 = 346.77/x
  3. Step 3: Cross multiply
    461.48x = 694.94 × 346.77
  4. Step 4: Simplify right side
    461.48x = 240,982.61
  5. Step 5: Solve for x
    x = 240,982.61/461.48
  6. Step 6: Final answer
    x = 522.20

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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.