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Finding the Fourth Proportional to 599.89, 825.70 and 424.93

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Solution

The fourth proportional to 599.89, 825.70 and 424.93 is: 584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.89 : 825.70 = 424.93 : x
  2. Step 2: Convert to fraction form
    599.89/825.70 = 424.93/x
  3. Step 3: Cross multiply
    599.89x = 825.70 × 424.93
  4. Step 4: Simplify right side
    599.89x = 350,864.70
  5. Step 5: Solve for x
    x = 350,864.70/599.89
  6. Step 6: Final answer
    x = 584.88

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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.