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Finding the Fourth Proportional to 905.46, 1,357.89 and 289.02

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Solution

The fourth proportional to 905.46, 1,357.89 and 289.02 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.46 : 1,357.89 = 289.02 : x
  2. Step 2: Convert to fraction form
    905.46/1,357.89 = 289.02/x
  3. Step 3: Cross multiply
    905.46x = 1,357.89 × 289.02
  4. Step 4: Simplify right side
    905.46x = 392,457.37
  5. Step 5: Solve for x
    x = 392,457.37/905.46
  6. Step 6: Final answer
    x = 433.43

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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.