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Finding the Fourth Proportional to 775.53, 1,070.22 and 421.46

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Solution

The fourth proportional to 775.53, 1,070.22 and 421.46 is: 581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.53 : 1,070.22 = 421.46 : x
  2. Step 2: Convert to fraction form
    775.53/1,070.22 = 421.46/x
  3. Step 3: Cross multiply
    775.53x = 1,070.22 × 421.46
  4. Step 4: Simplify right side
    775.53x = 451,049.57
  5. Step 5: Solve for x
    x = 451,049.57/775.53
  6. Step 6: Final answer
    x = 581.60

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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.