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Finding the Fourth Proportional to 416.46, 624.26 and 392.16

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Solution

The fourth proportional to 416.46, 624.26 and 392.16 is: 587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.46 : 624.26 = 392.16 : x
  2. Step 2: Convert to fraction form
    416.46/624.26 = 392.16/x
  3. Step 3: Cross multiply
    416.46x = 624.26 × 392.16
  4. Step 4: Simplify right side
    416.46x = 244,809.80
  5. Step 5: Solve for x
    x = 244,809.80/416.46
  6. Step 6: Final answer
    x = 587.84

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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.