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Finding the Fourth Proportional to 507.42, 760.65 and 250.62

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Solution

The fourth proportional to 507.42, 760.65 and 250.62 is: 375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 760.65 = 250.62 : x
  2. Step 2: Convert to fraction form
    507.42/760.65 = 250.62/x
  3. Step 3: Cross multiply
    507.42x = 760.65 × 250.62
  4. Step 4: Simplify right side
    507.42x = 190,634.10
  5. Step 5: Solve for x
    x = 190,634.10/507.42
  6. Step 6: Final answer
    x = 375.69

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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.