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Finding the Fourth Proportional to 775.34, 1,163.49 and 569.40

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Solution

The fourth proportional to 775.34, 1,163.49 and 569.40 is: 854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,163.49 = 569.40 : x
  2. Step 2: Convert to fraction form
    775.34/1,163.49 = 569.40/x
  3. Step 3: Cross multiply
    775.34x = 1,163.49 × 569.40
  4. Step 4: Simplify right side
    775.34x = 662,491.21
  5. Step 5: Solve for x
    x = 662,491.21/775.34
  6. Step 6: Final answer
    x = 854.45

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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.