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Finding the Fourth Proportional to 1,263.31, 1,894.70 and 338.65

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Solution

The fourth proportional to 1,263.31, 1,894.70 and 338.65 is: 507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.31 : 1,894.70 = 338.65 : x
  2. Step 2: Convert to fraction form
    1,263.31/1,894.70 = 338.65/x
  3. Step 3: Cross multiply
    1,263.31x = 1,894.70 × 338.65
  4. Step 4: Simplify right side
    1,263.31x = 641,636.26
  5. Step 5: Solve for x
    x = 641,636.26/1,263.31
  6. Step 6: Final answer
    x = 507.90

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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.