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Finding the Fourth Proportional to 507.98, 762.78 and 425.64

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Solution

The fourth proportional to 507.98, 762.78 and 425.64 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 762.78 = 425.64 : x
  2. Step 2: Convert to fraction form
    507.98/762.78 = 425.64/x
  3. Step 3: Cross multiply
    507.98x = 762.78 × 425.64
  4. Step 4: Simplify right side
    507.98x = 324,669.68
  5. Step 5: Solve for x
    x = 324,669.68/507.98
  6. Step 6: Final answer
    x = 639.14

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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.