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Finding the Fourth Proportional to 775.03, 1,069.54 and 425.72

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Solution

The fourth proportional to 775.03, 1,069.54 and 425.72 is: 587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.03 : 1,069.54 = 425.72 : x
  2. Step 2: Convert to fraction form
    775.03/1,069.54 = 425.72/x
  3. Step 3: Cross multiply
    775.03x = 1,069.54 × 425.72
  4. Step 4: Simplify right side
    775.03x = 455,324.57
  5. Step 5: Solve for x
    x = 455,324.57/775.03
  6. Step 6: Final answer
    x = 587.49

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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.