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Finding the Fourth Proportional to 775.22, 1,069.86 and 512.78

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Solution

The fourth proportional to 775.22, 1,069.86 and 512.78 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.22 : 1,069.86 = 512.78 : x
  2. Step 2: Convert to fraction form
    775.22/1,069.86 = 512.78/x
  3. Step 3: Cross multiply
    775.22x = 1,069.86 × 512.78
  4. Step 4: Simplify right side
    775.22x = 548,602.81
  5. Step 5: Solve for x
    x = 548,602.81/775.22
  6. Step 6: Final answer
    x = 707.67

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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.