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Finding the Fourth Proportional to 775.02, 1,069.53 and 425.73

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Solution

The fourth proportional to 775.02, 1,069.53 and 425.73 is: 587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.02 : 1,069.53 = 425.73 : x
  2. Step 2: Convert to fraction form
    775.02/1,069.53 = 425.73/x
  3. Step 3: Cross multiply
    775.02x = 1,069.53 × 425.73
  4. Step 4: Simplify right side
    775.02x = 455,331.01
  5. Step 5: Solve for x
    x = 455,331.01/775.02
  6. Step 6: Final answer
    x = 587.51

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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.