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Finding the Fourth Proportional to 574.49, 782.19 and 572.67

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Solution

The fourth proportional to 574.49, 782.19 and 572.67 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.49 : 782.19 = 572.67 : x
  2. Step 2: Convert to fraction form
    574.49/782.19 = 572.67/x
  3. Step 3: Cross multiply
    574.49x = 782.19 × 572.67
  4. Step 4: Simplify right side
    574.49x = 447,929.97
  5. Step 5: Solve for x
    x = 447,929.97/574.49
  6. Step 6: Final answer
    x = 779.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.