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Finding the Fourth Proportional to 508.12, 762.14 and 426.80

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Solution

The fourth proportional to 508.12, 762.14 and 426.80 is: 640.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 762.14 = 426.80 : x
  2. Step 2: Convert to fraction form
    508.12/762.14 = 426.80/x
  3. Step 3: Cross multiply
    508.12x = 762.14 × 426.80
  4. Step 4: Simplify right side
    508.12x = 325,281.35
  5. Step 5: Solve for x
    x = 325,281.35/508.12
  6. Step 6: Final answer
    x = 640.17

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Why These Related Problems?

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