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Finding the Fourth Proportional to 859.14, 1,184.69 and 579.42

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Solution

The fourth proportional to 859.14, 1,184.69 and 579.42 is: 798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.14 : 1,184.69 = 579.42 : x
  2. Step 2: Convert to fraction form
    859.14/1,184.69 = 579.42/x
  3. Step 3: Cross multiply
    859.14x = 1,184.69 × 579.42
  4. Step 4: Simplify right side
    859.14x = 686,434.53
  5. Step 5: Solve for x
    x = 686,434.53/859.14
  6. Step 6: Final answer
    x = 798.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.