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Finding the Fourth Proportional to 535.77, 740.27 and 426.22

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Solution

The fourth proportional to 535.77, 740.27 and 426.22 is: 588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.77 : 740.27 = 426.22 : x
  2. Step 2: Convert to fraction form
    535.77/740.27 = 426.22/x
  3. Step 3: Cross multiply
    535.77x = 740.27 × 426.22
  4. Step 4: Simplify right side
    535.77x = 315,517.09
  5. Step 5: Solve for x
    x = 315,517.09/535.77
  6. Step 6: Final answer
    x = 588.90

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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.