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Finding the Fourth Proportional to 906.85, 1,359.93 and 386.52

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Solution

The fourth proportional to 906.85, 1,359.93 and 386.52 is: 579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,359.93 = 386.52 : x
  2. Step 2: Convert to fraction form
    906.85/1,359.93 = 386.52/x
  3. Step 3: Cross multiply
    906.85x = 1,359.93 × 386.52
  4. Step 4: Simplify right side
    906.85x = 525,640.14
  5. Step 5: Solve for x
    x = 525,640.14/906.85
  6. Step 6: Final answer
    x = 579.63

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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.