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Finding the Fourth Proportional to 548.57, 823.87 and 288.77

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Solution

The fourth proportional to 548.57, 823.87 and 288.77 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 823.87 = 288.77 : x
  2. Step 2: Convert to fraction form
    548.57/823.87 = 288.77/x
  3. Step 3: Cross multiply
    548.57x = 823.87 × 288.77
  4. Step 4: Simplify right side
    548.57x = 237,905.18
  5. Step 5: Solve for x
    x = 237,905.18/548.57
  6. Step 6: Final answer
    x = 433.68

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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.