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Finding the Fourth Proportional to 620.60, 928.82 and 466.15

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Solution

The fourth proportional to 620.60, 928.82 and 466.15 is: 697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.60 : 928.82 = 466.15 : x
  2. Step 2: Convert to fraction form
    620.60/928.82 = 466.15/x
  3. Step 3: Cross multiply
    620.60x = 928.82 × 466.15
  4. Step 4: Simplify right side
    620.60x = 432,968.29
  5. Step 5: Solve for x
    x = 432,968.29/620.60
  6. Step 6: Final answer
    x = 697.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.