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Finding the Fourth Proportional to 621.86, 929.97 and 465.80

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Solution

The fourth proportional to 621.86, 929.97 and 465.80 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.86 : 929.97 = 465.80 : x
  2. Step 2: Convert to fraction form
    621.86/929.97 = 465.80/x
  3. Step 3: Cross multiply
    621.86x = 929.97 × 465.80
  4. Step 4: Simplify right side
    621.86x = 433,175.38
  5. Step 5: Solve for x
    x = 433,175.38/621.86
  6. Step 6: Final answer
    x = 696.59

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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.