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Finding the Fourth Proportional to 599.34, 898.56 and 253.08

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Solution

The fourth proportional to 599.34, 898.56 and 253.08 is: 379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.34 : 898.56 = 253.08 : x
  2. Step 2: Convert to fraction form
    599.34/898.56 = 253.08/x
  3. Step 3: Cross multiply
    599.34x = 898.56 × 253.08
  4. Step 4: Simplify right side
    599.34x = 227,407.56
  5. Step 5: Solve for x
    x = 227,407.56/599.34
  6. Step 6: Final answer
    x = 379.43

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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.