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Finding the Fourth Proportional to 906.04, 1,359.05 and 289.65

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Solution

The fourth proportional to 906.04, 1,359.05 and 289.65 is: 434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.04 : 1,359.05 = 289.65 : x
  2. Step 2: Convert to fraction form
    906.04/1,359.05 = 289.65/x
  3. Step 3: Cross multiply
    906.04x = 1,359.05 × 289.65
  4. Step 4: Simplify right side
    906.04x = 393,651.10
  5. Step 5: Solve for x
    x = 393,651.10/906.04
  6. Step 6: Final answer
    x = 434.48

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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.