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Finding the Fourth Proportional to 624.90, 935.94 and 407.82

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Solution

The fourth proportional to 624.90, 935.94 and 407.82 is: 610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.90 : 935.94 = 407.82 : x
  2. Step 2: Convert to fraction form
    624.90/935.94 = 407.82/x
  3. Step 3: Cross multiply
    624.90x = 935.94 × 407.82
  4. Step 4: Simplify right side
    624.90x = 381,695.05
  5. Step 5: Solve for x
    x = 381,695.05/624.90
  6. Step 6: Final answer
    x = 610.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.