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Finding the Fourth Proportional to 484.06, 724.91 and 310.18

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Solution

The fourth proportional to 484.06, 724.91 and 310.18 is: 464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.06 : 724.91 = 310.18 : x
  2. Step 2: Convert to fraction form
    484.06/724.91 = 310.18/x
  3. Step 3: Cross multiply
    484.06x = 724.91 × 310.18
  4. Step 4: Simplify right side
    484.06x = 224,849.22
  5. Step 5: Solve for x
    x = 224,849.22/484.06
  6. Step 6: Final answer
    x = 464.51

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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.