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Finding the Fourth Proportional to 1,779, 2,669.70 and 624.78

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Solution

The fourth proportional to 1,779, 2,669.70 and 624.78 is: 937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779 : 2,669.70 = 624.78 : x
  2. Step 2: Convert to fraction form
    1,779/2,669.70 = 624.78/x
  3. Step 3: Cross multiply
    1,779x = 2,669.70 × 624.78
  4. Step 4: Simplify right side
    1,779x = 1,667,975.17
  5. Step 5: Solve for x
    x = 1,667,975.17/1,779
  6. Step 6: Final answer
    x = 937.59

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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.