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Finding the Fourth Proportional to 589.36, 883.66 and 280.78

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Solution

The fourth proportional to 589.36, 883.66 and 280.78 is: 420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 883.66 = 280.78 : x
  2. Step 2: Convert to fraction form
    589.36/883.66 = 280.78/x
  3. Step 3: Cross multiply
    589.36x = 883.66 × 280.78
  4. Step 4: Simplify right side
    589.36x = 248,114.05
  5. Step 5: Solve for x
    x = 248,114.05/589.36
  6. Step 6: Final answer
    x = 420.99

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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.