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Finding the Fourth Proportional to 905.85, 1,357.84 and 357.28

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Solution

The fourth proportional to 905.85, 1,357.84 and 357.28 is: 535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.85 : 1,357.84 = 357.28 : x
  2. Step 2: Convert to fraction form
    905.85/1,357.84 = 357.28/x
  3. Step 3: Cross multiply
    905.85x = 1,357.84 × 357.28
  4. Step 4: Simplify right side
    905.85x = 485,126.13
  5. Step 5: Solve for x
    x = 485,126.13/905.85
  6. Step 6: Final answer
    x = 535.55

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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.