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Finding the Fourth Proportional to 568.96, 852.98 and 523.40

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Solution

The fourth proportional to 568.96, 852.98 and 523.40 is: 784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.96 : 852.98 = 523.40 : x
  2. Step 2: Convert to fraction form
    568.96/852.98 = 523.40/x
  3. Step 3: Cross multiply
    568.96x = 852.98 × 523.40
  4. Step 4: Simplify right side
    568.96x = 446,449.73
  5. Step 5: Solve for x
    x = 446,449.73/568.96
  6. Step 6: Final answer
    x = 784.68

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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.