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Finding the Fourth Proportional to 624.29, 935.81 and 277.55

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Solution

The fourth proportional to 624.29, 935.81 and 277.55 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.29 : 935.81 = 277.55 : x
  2. Step 2: Convert to fraction form
    624.29/935.81 = 277.55/x
  3. Step 3: Cross multiply
    624.29x = 935.81 × 277.55
  4. Step 4: Simplify right side
    624.29x = 259,728.00
  5. Step 5: Solve for x
    x = 259,728.00/624.29
  6. Step 6: Final answer
    x = 416.04

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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.