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Finding the Fourth Proportional to 517.60, 780.02 and 466.30

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Solution

The fourth proportional to 517.60, 780.02 and 466.30 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.60 : 780.02 = 466.30 : x
  2. Step 2: Convert to fraction form
    517.60/780.02 = 466.30/x
  3. Step 3: Cross multiply
    517.60x = 780.02 × 466.30
  4. Step 4: Simplify right side
    517.60x = 363,723.33
  5. Step 5: Solve for x
    x = 363,723.33/517.60
  6. Step 6: Final answer
    x = 702.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.