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Finding the Fourth Proportional to 775.04, 1,069.64 and 538.92

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Solution

The fourth proportional to 775.04, 1,069.64 and 538.92 is: 743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.04 : 1,069.64 = 538.92 : x
  2. Step 2: Convert to fraction form
    775.04/1,069.64 = 538.92/x
  3. Step 3: Cross multiply
    775.04x = 1,069.64 × 538.92
  4. Step 4: Simplify right side
    775.04x = 576,450.39
  5. Step 5: Solve for x
    x = 576,450.39/775.04
  6. Step 6: Final answer
    x = 743.77

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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.