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Finding the Fourth Proportional to 507.50, 763.07 and 406.05

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Solution

The fourth proportional to 507.50, 763.07 and 406.05 is: 610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 763.07 = 406.05 : x
  2. Step 2: Convert to fraction form
    507.50/763.07 = 406.05/x
  3. Step 3: Cross multiply
    507.50x = 763.07 × 406.05
  4. Step 4: Simplify right side
    507.50x = 309,841.97
  5. Step 5: Solve for x
    x = 309,841.97/507.50
  6. Step 6: Final answer
    x = 610.53

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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.