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Finding the Fourth Proportional to 859.68, 1,289.92 and 737.68

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Solution

The fourth proportional to 859.68, 1,289.92 and 737.68 is: 1,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,289.92 = 737.68 : x
  2. Step 2: Convert to fraction form
    859.68/1,289.92 = 737.68/x
  3. Step 3: Cross multiply
    859.68x = 1,289.92 × 737.68
  4. Step 4: Simplify right side
    859.68x = 951,548.19
  5. Step 5: Solve for x
    x = 951,548.19/859.68
  6. Step 6: Final answer
    x = 1,106.86

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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.