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Finding the Fourth Proportional to 416.71, 621.31 and 382.01

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Solution

The fourth proportional to 416.71, 621.31 and 382.01 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.71 : 621.31 = 382.01 : x
  2. Step 2: Convert to fraction form
    416.71/621.31 = 382.01/x
  3. Step 3: Cross multiply
    416.71x = 621.31 × 382.01
  4. Step 4: Simplify right side
    416.71x = 237,344.72
  5. Step 5: Solve for x
    x = 237,344.72/416.71
  6. Step 6: Final answer
    x = 569.57

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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.