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Finding the Fourth Proportional to 905.74, 1,357.92 and 357.82

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Solution

The fourth proportional to 905.74, 1,357.92 and 357.82 is: 536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,357.92 = 357.82 : x
  2. Step 2: Convert to fraction form
    905.74/1,357.92 = 357.82/x
  3. Step 3: Cross multiply
    905.74x = 1,357.92 × 357.82
  4. Step 4: Simplify right side
    905.74x = 485,890.93
  5. Step 5: Solve for x
    x = 485,890.93/905.74
  6. Step 6: Final answer
    x = 536.46

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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.