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Finding the Fourth Proportional to 534.50, 798.48 and 426.41

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Solution

The fourth proportional to 534.50, 798.48 and 426.41 is: 637.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 798.48 = 426.41 : x
  2. Step 2: Convert to fraction form
    534.50/798.48 = 426.41/x
  3. Step 3: Cross multiply
    534.50x = 798.48 × 426.41
  4. Step 4: Simplify right side
    534.50x = 340,479.86
  5. Step 5: Solve for x
    x = 340,479.86/534.50
  6. Step 6: Final answer
    x = 637.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.