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Finding the Fourth Proportional to 511.95, 770.70 and 466.59

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Solution

The fourth proportional to 511.95, 770.70 and 466.59 is: 702.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 770.70 = 466.59 : x
  2. Step 2: Convert to fraction form
    511.95/770.70 = 466.59/x
  3. Step 3: Cross multiply
    511.95x = 770.70 × 466.59
  4. Step 4: Simplify right side
    511.95x = 359,600.91
  5. Step 5: Solve for x
    x = 359,600.91/511.95
  6. Step 6: Final answer
    x = 702.41

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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.