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Finding the Fourth Proportional to 461.64, 694.77 and 346.68

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Solution

The fourth proportional to 461.64, 694.77 and 346.68 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 694.77 = 346.68 : x
  2. Step 2: Convert to fraction form
    461.64/694.77 = 346.68/x
  3. Step 3: Cross multiply
    461.64x = 694.77 × 346.68
  4. Step 4: Simplify right side
    461.64x = 240,862.86
  5. Step 5: Solve for x
    x = 240,862.86/461.64
  6. Step 6: Final answer
    x = 521.75

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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.