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Finding the Fourth Proportional to 568.50, 782.10 and 544.20

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Solution

The fourth proportional to 568.50, 782.10 and 544.20 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 782.10 = 544.20 : x
  2. Step 2: Convert to fraction form
    568.50/782.10 = 544.20/x
  3. Step 3: Cross multiply
    568.50x = 782.10 × 544.20
  4. Step 4: Simplify right side
    568.50x = 425,618.82
  5. Step 5: Solve for x
    x = 425,618.82/568.50
  6. Step 6: Final answer
    x = 748.67

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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.