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Finding the Fourth Proportional to 631.41, 946.71 and 414.33

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Solution

The fourth proportional to 631.41, 946.71 and 414.33 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 946.71 = 414.33 : x
  2. Step 2: Convert to fraction form
    631.41/946.71 = 414.33/x
  3. Step 3: Cross multiply
    631.41x = 946.71 × 414.33
  4. Step 4: Simplify right side
    631.41x = 392,250.35
  5. Step 5: Solve for x
    x = 392,250.35/631.41
  6. Step 6: Final answer
    x = 621.23

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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.