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Finding the Fourth Proportional to 775.86, 1,070.57 and 481.13

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Solution

The fourth proportional to 775.86, 1,070.57 and 481.13 is: 663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,070.57 = 481.13 : x
  2. Step 2: Convert to fraction form
    775.86/1,070.57 = 481.13/x
  3. Step 3: Cross multiply
    775.86x = 1,070.57 × 481.13
  4. Step 4: Simplify right side
    775.86x = 515,075.59
  5. Step 5: Solve for x
    x = 515,075.59/775.86
  6. Step 6: Final answer
    x = 663.88

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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.