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Finding the Fourth Proportional to 511.71, 770.15 and 461.40

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Solution

The fourth proportional to 511.71, 770.15 and 461.40 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.71 : 770.15 = 461.40 : x
  2. Step 2: Convert to fraction form
    511.71/770.15 = 461.40/x
  3. Step 3: Cross multiply
    511.71x = 770.15 × 461.40
  4. Step 4: Simplify right side
    511.71x = 355,344.90
  5. Step 5: Solve for x
    x = 355,344.90/511.71
  6. Step 6: Final answer
    x = 694.43

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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.