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Finding the Fourth Proportional to 599.68, 899.50 and 253.24

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Solution

The fourth proportional to 599.68, 899.50 and 253.24 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.68 : 899.50 = 253.24 : x
  2. Step 2: Convert to fraction form
    599.68/899.50 = 253.24/x
  3. Step 3: Cross multiply
    599.68x = 899.50 × 253.24
  4. Step 4: Simplify right side
    599.68x = 227,789.38
  5. Step 5: Solve for x
    x = 227,789.38/599.68
  6. Step 6: Final answer
    x = 379.85

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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.