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Finding the Fourth Proportional to 941.20, 1,412.20 and 508.26

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Solution

The fourth proportional to 941.20, 1,412.20 and 508.26 is: 762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.20 : 1,412.20 = 508.26 : x
  2. Step 2: Convert to fraction form
    941.20/1,412.20 = 508.26/x
  3. Step 3: Cross multiply
    941.20x = 1,412.20 × 508.26
  4. Step 4: Simplify right side
    941.20x = 717,764.77
  5. Step 5: Solve for x
    x = 717,764.77/941.20
  6. Step 6: Final answer
    x = 762.61

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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.