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Finding the Fourth Proportional to 905.41, 1,358.27 and 288.94

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Solution

The fourth proportional to 905.41, 1,358.27 and 288.94 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.41 : 1,358.27 = 288.94 : x
  2. Step 2: Convert to fraction form
    905.41/1,358.27 = 288.94/x
  3. Step 3: Cross multiply
    905.41x = 1,358.27 × 288.94
  4. Step 4: Simplify right side
    905.41x = 392,458.53
  5. Step 5: Solve for x
    x = 392,458.53/905.41
  6. Step 6: Final answer
    x = 433.46

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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.