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Finding the Fourth Proportional to 568, 783.72 and 371.50

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Solution

The fourth proportional to 568, 783.72 and 371.50 is: 512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    568 : 783.72 = 371.50 : x
  2. Step 2: Convert to fraction form
    568/783.72 = 371.50/x
  3. Step 3: Cross multiply
    568x = 783.72 × 371.50
  4. Step 4: Simplify right side
    568x = 291,151.98
  5. Step 5: Solve for x
    x = 291,151.98/568
  6. Step 6: Final answer
    x = 512.59

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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.