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Finding the Fourth Proportional to 461.07, 694.17 and 340.20

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Solution

The fourth proportional to 461.07, 694.17 and 340.20 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 694.17 = 340.20 : x
  2. Step 2: Convert to fraction form
    461.07/694.17 = 340.20/x
  3. Step 3: Cross multiply
    461.07x = 694.17 × 340.20
  4. Step 4: Simplify right side
    461.07x = 236,156.63
  5. Step 5: Solve for x
    x = 236,156.63/461.07
  6. Step 6: Final answer
    x = 512.19

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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.