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Finding the Fourth Proportional to 598.05, 892.80 and 505.71

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Solution

The fourth proportional to 598.05, 892.80 and 505.71 is: 754.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.05 : 892.80 = 505.71 : x
  2. Step 2: Convert to fraction form
    598.05/892.80 = 505.71/x
  3. Step 3: Cross multiply
    598.05x = 892.80 × 505.71
  4. Step 4: Simplify right side
    598.05x = 451,497.89
  5. Step 5: Solve for x
    x = 451,497.89/598.05
  6. Step 6: Final answer
    x = 754.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.