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Finding the Fourth Proportional to 775.72, 1,070.72 and 513.80

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Solution

The fourth proportional to 775.72, 1,070.72 and 513.80 is: 709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,070.72 = 513.80 : x
  2. Step 2: Convert to fraction form
    775.72/1,070.72 = 513.80/x
  3. Step 3: Cross multiply
    775.72x = 1,070.72 × 513.80
  4. Step 4: Simplify right side
    775.72x = 550,135.94
  5. Step 5: Solve for x
    x = 550,135.94/775.72
  6. Step 6: Final answer
    x = 709.19

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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.