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Finding the Fourth Proportional to 559.79, 839.14 and 286.01

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Solution

The fourth proportional to 559.79, 839.14 and 286.01 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.79 : 839.14 = 286.01 : x
  2. Step 2: Convert to fraction form
    559.79/839.14 = 286.01/x
  3. Step 3: Cross multiply
    559.79x = 839.14 × 286.01
  4. Step 4: Simplify right side
    559.79x = 240,002.43
  5. Step 5: Solve for x
    x = 240,002.43/559.79
  6. Step 6: Final answer
    x = 428.74

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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.