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Finding the Fourth Proportional to 775.85, 1,070.52 and 513.71

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Solution

The fourth proportional to 775.85, 1,070.52 and 513.71 is: 708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.85 : 1,070.52 = 513.71 : x
  2. Step 2: Convert to fraction form
    775.85/1,070.52 = 513.71/x
  3. Step 3: Cross multiply
    775.85x = 1,070.52 × 513.71
  4. Step 4: Simplify right side
    775.85x = 549,936.83
  5. Step 5: Solve for x
    x = 549,936.83/775.85
  6. Step 6: Final answer
    x = 708.82

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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.