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Finding the Fourth Proportional to 1,865.75, 2,798.61 and 634.04

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Solution

The fourth proportional to 1,865.75, 2,798.61 and 634.04 is: 951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.75 : 2,798.61 = 634.04 : x
  2. Step 2: Convert to fraction form
    1,865.75/2,798.61 = 634.04/x
  3. Step 3: Cross multiply
    1,865.75x = 2,798.61 × 634.04
  4. Step 4: Simplify right side
    1,865.75x = 1,774,416.69
  5. Step 5: Solve for x
    x = 1,774,416.69/1,865.75
  6. Step 6: Final answer
    x = 951.05

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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.