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Finding the Fourth Proportional to 775.87, 1,070.69 and 461.12

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Solution

The fourth proportional to 775.87, 1,070.69 and 461.12 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.87 : 1,070.69 = 461.12 : x
  2. Step 2: Convert to fraction form
    775.87/1,070.69 = 461.12/x
  3. Step 3: Cross multiply
    775.87x = 1,070.69 × 461.12
  4. Step 4: Simplify right side
    775.87x = 493,708.91
  5. Step 5: Solve for x
    x = 493,708.91/775.87
  6. Step 6: Final answer
    x = 636.33

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Double scale
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1.5x scale

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.