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Finding the Fourth Proportional to 535.35, 800.91 and 426

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Solution

The fourth proportional to 535.35, 800.91 and 426 is: 637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.35 : 800.91 = 426 : x
  2. Step 2: Convert to fraction form
    535.35/800.91 = 426/x
  3. Step 3: Cross multiply
    535.35x = 800.91 × 426
  4. Step 4: Simplify right side
    535.35x = 341,187.66
  5. Step 5: Solve for x
    x = 341,187.66/535.35
  6. Step 6: Final answer
    x = 637.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.