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Finding the Fourth Proportional to 604.17, 831.87 and 505.71

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Solution

The fourth proportional to 604.17, 831.87 and 505.71 is: 696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.17 : 831.87 = 505.71 : x
  2. Step 2: Convert to fraction form
    604.17/831.87 = 505.71/x
  3. Step 3: Cross multiply
    604.17x = 831.87 × 505.71
  4. Step 4: Simplify right side
    604.17x = 420,684.98
  5. Step 5: Solve for x
    x = 420,684.98/604.17
  6. Step 6: Final answer
    x = 696.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.