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Finding the Fourth Proportional to 483.99, 724.15 and 288.27

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Solution

The fourth proportional to 483.99, 724.15 and 288.27 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.99 : 724.15 = 288.27 : x
  2. Step 2: Convert to fraction form
    483.99/724.15 = 288.27/x
  3. Step 3: Cross multiply
    483.99x = 724.15 × 288.27
  4. Step 4: Simplify right side
    483.99x = 208,750.72
  5. Step 5: Solve for x
    x = 208,750.72/483.99
  6. Step 6: Final answer
    x = 431.31

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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.