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Finding the Fourth Proportional to 775.15, 1,069.69 and 542.68

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Solution

The fourth proportional to 775.15, 1,069.69 and 542.68 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.15 : 1,069.69 = 542.68 : x
  2. Step 2: Convert to fraction form
    775.15/1,069.69 = 542.68/x
  3. Step 3: Cross multiply
    775.15x = 1,069.69 × 542.68
  4. Step 4: Simplify right side
    775.15x = 580,499.37
  5. Step 5: Solve for x
    x = 580,499.37/775.15
  6. Step 6: Final answer
    x = 748.89

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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.