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Finding the Fourth Proportional to 599.07, 898.20 and 324.90

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Solution

The fourth proportional to 599.07, 898.20 and 324.90 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.07 : 898.20 = 324.90 : x
  2. Step 2: Convert to fraction form
    599.07/898.20 = 324.90/x
  3. Step 3: Cross multiply
    599.07x = 898.20 × 324.90
  4. Step 4: Simplify right side
    599.07x = 291,825.18
  5. Step 5: Solve for x
    x = 291,825.18/599.07
  6. Step 6: Final answer
    x = 487.13

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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.