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Finding the Fourth Proportional to 621.30, 930.12 and 415.36

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Solution

The fourth proportional to 621.30, 930.12 and 415.36 is: 621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.30 : 930.12 = 415.36 : x
  2. Step 2: Convert to fraction form
    621.30/930.12 = 415.36/x
  3. Step 3: Cross multiply
    621.30x = 930.12 × 415.36
  4. Step 4: Simplify right side
    621.30x = 386,334.64
  5. Step 5: Solve for x
    x = 386,334.64/621.30
  6. Step 6: Final answer
    x = 621.82

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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.