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Finding the Fourth Proportional to 906.94, 1,360.42 and 393.94

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Solution

The fourth proportional to 906.94, 1,360.42 and 393.94 is: 590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.94 : 1,360.42 = 393.94 : x
  2. Step 2: Convert to fraction form
    906.94/1,360.42 = 393.94/x
  3. Step 3: Cross multiply
    906.94x = 1,360.42 × 393.94
  4. Step 4: Simplify right side
    906.94x = 535,920.95
  5. Step 5: Solve for x
    x = 535,920.95/906.94
  6. Step 6: Final answer
    x = 590.91

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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.