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Finding the Fourth Proportional to 859.84, 1,289.36 and 397.36

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Solution

The fourth proportional to 859.84, 1,289.36 and 397.36 is: 595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.84 : 1,289.36 = 397.36 : x
  2. Step 2: Convert to fraction form
    859.84/1,289.36 = 397.36/x
  3. Step 3: Cross multiply
    859.84x = 1,289.36 × 397.36
  4. Step 4: Simplify right side
    859.84x = 512,340.09
  5. Step 5: Solve for x
    x = 512,340.09/859.84
  6. Step 6: Final answer
    x = 595.86

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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.