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Finding the Fourth Proportional to 620.59, 930.24 and 209.59

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Solution

The fourth proportional to 620.59, 930.24 and 209.59 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.59 : 930.24 = 209.59 : x
  2. Step 2: Convert to fraction form
    620.59/930.24 = 209.59/x
  3. Step 3: Cross multiply
    620.59x = 930.24 × 209.59
  4. Step 4: Simplify right side
    620.59x = 194,963.30
  5. Step 5: Solve for x
    x = 194,963.30/620.59
  6. Step 6: Final answer
    x = 314.16

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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.