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Finding the Fourth Proportional to 568.49, 785.91 and 563.29

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Solution

The fourth proportional to 568.49, 785.91 and 563.29 is: 778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 785.91 = 563.29 : x
  2. Step 2: Convert to fraction form
    568.49/785.91 = 563.29/x
  3. Step 3: Cross multiply
    568.49x = 785.91 × 563.29
  4. Step 4: Simplify right side
    568.49x = 442,698.34
  5. Step 5: Solve for x
    x = 442,698.34/568.49
  6. Step 6: Final answer
    x = 778.73

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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.