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Finding the Fourth Proportional to 483.05, 724.85 and 318.13

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Solution

The fourth proportional to 483.05, 724.85 and 318.13 is: 477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.05 : 724.85 = 318.13 : x
  2. Step 2: Convert to fraction form
    483.05/724.85 = 318.13/x
  3. Step 3: Cross multiply
    483.05x = 724.85 × 318.13
  4. Step 4: Simplify right side
    483.05x = 230,595.51
  5. Step 5: Solve for x
    x = 230,595.51/483.05
  6. Step 6: Final answer
    x = 477.38

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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.