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Finding the Fourth Proportional to 838.25, 1,257.20 and 468.75

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Solution

The fourth proportional to 838.25, 1,257.20 and 468.75 is: 703.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.25 : 1,257.20 = 468.75 : x
  2. Step 2: Convert to fraction form
    838.25/1,257.20 = 468.75/x
  3. Step 3: Cross multiply
    838.25x = 1,257.20 × 468.75
  4. Step 4: Simplify right side
    838.25x = 589,310.16
  5. Step 5: Solve for x
    x = 589,310.16/838.25
  6. Step 6: Final answer
    x = 703.03

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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.