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Finding the Fourth Proportional to 905.66, 1,358.94 and 357.70

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Solution

The fourth proportional to 905.66, 1,358.94 and 357.70 is: 536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.66 : 1,358.94 = 357.70 : x
  2. Step 2: Convert to fraction form
    905.66/1,358.94 = 357.70/x
  3. Step 3: Cross multiply
    905.66x = 1,358.94 × 357.70
  4. Step 4: Simplify right side
    905.66x = 486,092.84
  5. Step 5: Solve for x
    x = 486,092.84/905.66
  6. Step 6: Final answer
    x = 536.73

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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.