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Finding the Fourth Proportional to 598.56, 898.02 and 309.75

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Solution

The fourth proportional to 598.56, 898.02 and 309.75 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.56 : 898.02 = 309.75 : x
  2. Step 2: Convert to fraction form
    598.56/898.02 = 309.75/x
  3. Step 3: Cross multiply
    598.56x = 898.02 × 309.75
  4. Step 4: Simplify right side
    598.56x = 278,161.70
  5. Step 5: Solve for x
    x = 278,161.70/598.56
  6. Step 6: Final answer
    x = 464.72

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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.