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Finding the Fourth Proportional to 842.43, 1,263.72 and 348.75

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Solution

The fourth proportional to 842.43, 1,263.72 and 348.75 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.43 : 1,263.72 = 348.75 : x
  2. Step 2: Convert to fraction form
    842.43/1,263.72 = 348.75/x
  3. Step 3: Cross multiply
    842.43x = 1,263.72 × 348.75
  4. Step 4: Simplify right side
    842.43x = 440,722.35
  5. Step 5: Solve for x
    x = 440,722.35/842.43
  6. Step 6: Final answer
    x = 523.16

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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.