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Finding the Fourth Proportional to 598.74, 898.56 and 274.34

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Solution

The fourth proportional to 598.74, 898.56 and 274.34 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 898.56 = 274.34 : x
  2. Step 2: Convert to fraction form
    598.74/898.56 = 274.34/x
  3. Step 3: Cross multiply
    598.74x = 898.56 × 274.34
  4. Step 4: Simplify right side
    598.74x = 246,506.46
  5. Step 5: Solve for x
    x = 246,506.46/598.74
  6. Step 6: Final answer
    x = 411.71

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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.