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Finding the Fourth Proportional to 568.62, 784.22 and 480.31

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Solution

The fourth proportional to 568.62, 784.22 and 480.31 is: 662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 784.22 = 480.31 : x
  2. Step 2: Convert to fraction form
    568.62/784.22 = 480.31/x
  3. Step 3: Cross multiply
    568.62x = 784.22 × 480.31
  4. Step 4: Simplify right side
    568.62x = 376,667.95
  5. Step 5: Solve for x
    x = 376,667.95/568.62
  6. Step 6: Final answer
    x = 662.42

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1.5x scale

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.