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Finding the Fourth Proportional to 484.06, 724.73 and 310.93

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Solution

The fourth proportional to 484.06, 724.73 and 310.93 is: 465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.06 : 724.73 = 310.93 : x
  2. Step 2: Convert to fraction form
    484.06/724.73 = 310.93/x
  3. Step 3: Cross multiply
    484.06x = 724.73 × 310.93
  4. Step 4: Simplify right side
    484.06x = 225,340.30
  5. Step 5: Solve for x
    x = 225,340.30/484.06
  6. Step 6: Final answer
    x = 465.52

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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.