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Finding the Fourth Proportional to 906.86, 1,359.48 and 419.52

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Solution

The fourth proportional to 906.86, 1,359.48 and 419.52 is: 628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.86 : 1,359.48 = 419.52 : x
  2. Step 2: Convert to fraction form
    906.86/1,359.48 = 419.52/x
  3. Step 3: Cross multiply
    906.86x = 1,359.48 × 419.52
  4. Step 4: Simplify right side
    906.86x = 570,329.05
  5. Step 5: Solve for x
    x = 570,329.05/906.86
  6. Step 6: Final answer
    x = 628.91

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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.