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Finding the Fourth Proportional to 485.16, 727.26 and 398.76

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Solution

The fourth proportional to 485.16, 727.26 and 398.76 is: 597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.16 : 727.26 = 398.76 : x
  2. Step 2: Convert to fraction form
    485.16/727.26 = 398.76/x
  3. Step 3: Cross multiply
    485.16x = 727.26 × 398.76
  4. Step 4: Simplify right side
    485.16x = 290,002.20
  5. Step 5: Solve for x
    x = 290,002.20/485.16
  6. Step 6: Final answer
    x = 597.75

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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.