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Finding the Fourth Proportional to 1,794.67, 2,690.90 and 624.17

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Solution

The fourth proportional to 1,794.67, 2,690.90 and 624.17 is: 935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.67 : 2,690.90 = 624.17 : x
  2. Step 2: Convert to fraction form
    1,794.67/2,690.90 = 624.17/x
  3. Step 3: Cross multiply
    1,794.67x = 2,690.90 × 624.17
  4. Step 4: Simplify right side
    1,794.67x = 1,679,562.48
  5. Step 5: Solve for x
    x = 1,679,562.48/1,794.67
  6. Step 6: Final answer
    x = 935.86

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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.