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Finding the Fourth Proportional to 1,789, 2,683.50 and 634.78

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Solution

The fourth proportional to 1,789, 2,683.50 and 634.78 is: 952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789 : 2,683.50 = 634.78 : x
  2. Step 2: Convert to fraction form
    1,789/2,683.50 = 634.78/x
  3. Step 3: Cross multiply
    1,789x = 2,683.50 × 634.78
  4. Step 4: Simplify right side
    1,789x = 1,703,432.13
  5. Step 5: Solve for x
    x = 1,703,432.13/1,789
  6. Step 6: Final answer
    x = 952.17

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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.