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Finding the Fourth Proportional to 599.28, 827.40 and 424.80

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Solution

The fourth proportional to 599.28, 827.40 and 424.80 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.28 : 827.40 = 424.80 : x
  2. Step 2: Convert to fraction form
    599.28/827.40 = 424.80/x
  3. Step 3: Cross multiply
    599.28x = 827.40 × 424.80
  4. Step 4: Simplify right side
    599.28x = 351,479.52
  5. Step 5: Solve for x
    x = 351,479.52/599.28
  6. Step 6: Final answer
    x = 586.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.