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Finding the Fourth Proportional to 906.02, 1,359.04 and 289.70

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Solution

The fourth proportional to 906.02, 1,359.04 and 289.70 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.02 : 1,359.04 = 289.70 : x
  2. Step 2: Convert to fraction form
    906.02/1,359.04 = 289.70/x
  3. Step 3: Cross multiply
    906.02x = 1,359.04 × 289.70
  4. Step 4: Simplify right side
    906.02x = 393,713.89
  5. Step 5: Solve for x
    x = 393,713.89/906.02
  6. Step 6: Final answer
    x = 434.55

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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.