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Finding the Fourth Proportional to 483.35, 724.51 and 209.57

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Solution

The fourth proportional to 483.35, 724.51 and 209.57 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.35 : 724.51 = 209.57 : x
  2. Step 2: Convert to fraction form
    483.35/724.51 = 209.57/x
  3. Step 3: Cross multiply
    483.35x = 724.51 × 209.57
  4. Step 4: Simplify right side
    483.35x = 151,835.56
  5. Step 5: Solve for x
    x = 151,835.56/483.35
  6. Step 6: Final answer
    x = 314.13

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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.