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Finding the Fourth Proportional to 905.69, 1,358.64 and 289.18

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Solution

The fourth proportional to 905.69, 1,358.64 and 289.18 is: 433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.69 : 1,358.64 = 289.18 : x
  2. Step 2: Convert to fraction form
    905.69/1,358.64 = 289.18/x
  3. Step 3: Cross multiply
    905.69x = 1,358.64 × 289.18
  4. Step 4: Simplify right side
    905.69x = 392,888.12
  5. Step 5: Solve for x
    x = 392,888.12/905.69
  6. Step 6: Final answer
    x = 433.80

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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.