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Finding the Fourth Proportional to 482.83, 724.55 and 209.12

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Solution

The fourth proportional to 482.83, 724.55 and 209.12 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.83 : 724.55 = 209.12 : x
  2. Step 2: Convert to fraction form
    482.83/724.55 = 209.12/x
  3. Step 3: Cross multiply
    482.83x = 724.55 × 209.12
  4. Step 4: Simplify right side
    482.83x = 151,513.23
  5. Step 5: Solve for x
    x = 151,513.23/482.83
  6. Step 6: Final answer
    x = 313.80

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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.