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Finding the Fourth Proportional to 416.74, 621.53 and 394.87

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Solution

The fourth proportional to 416.74, 621.53 and 394.87 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.74 : 621.53 = 394.87 : x
  2. Step 2: Convert to fraction form
    416.74/621.53 = 394.87/x
  3. Step 3: Cross multiply
    416.74x = 621.53 × 394.87
  4. Step 4: Simplify right side
    416.74x = 245,423.55
  5. Step 5: Solve for x
    x = 245,423.55/416.74
  6. Step 6: Final answer
    x = 588.91

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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.