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Finding the Fourth Proportional to 859.80, 1,289.76 and 296.96

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Solution

The fourth proportional to 859.80, 1,289.76 and 296.96 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.80 : 1,289.76 = 296.96 : x
  2. Step 2: Convert to fraction form
    859.80/1,289.76 = 296.96/x
  3. Step 3: Cross multiply
    859.80x = 1,289.76 × 296.96
  4. Step 4: Simplify right side
    859.80x = 383,007.13
  5. Step 5: Solve for x
    x = 383,007.13/859.80
  6. Step 6: Final answer
    x = 445.46

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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.