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Finding the Fourth Proportional to 775.65, 1,070.82 and 514.11

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Solution

The fourth proportional to 775.65, 1,070.82 and 514.11 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.65 : 1,070.82 = 514.11 : x
  2. Step 2: Convert to fraction form
    775.65/1,070.82 = 514.11/x
  3. Step 3: Cross multiply
    775.65x = 1,070.82 × 514.11
  4. Step 4: Simplify right side
    775.65x = 550,519.27
  5. Step 5: Solve for x
    x = 550,519.27/775.65
  6. Step 6: Final answer
    x = 709.75

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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.