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Finding the Fourth Proportional to 511.90, 701.51 and 462.70

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Solution

The fourth proportional to 511.90, 701.51 and 462.70 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.90 : 701.51 = 462.70 : x
  2. Step 2: Convert to fraction form
    511.90/701.51 = 462.70/x
  3. Step 3: Cross multiply
    511.90x = 701.51 × 462.70
  4. Step 4: Simplify right side
    511.90x = 324,588.68
  5. Step 5: Solve for x
    x = 324,588.68/511.90
  6. Step 6: Final answer
    x = 634.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.