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Finding the Fourth Proportional to 507.73, 760.38 and 391.90

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Solution

The fourth proportional to 507.73, 760.38 and 391.90 is: 586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.73 : 760.38 = 391.90 : x
  2. Step 2: Convert to fraction form
    507.73/760.38 = 391.90/x
  3. Step 3: Cross multiply
    507.73x = 760.38 × 391.90
  4. Step 4: Simplify right side
    507.73x = 297,992.92
  5. Step 5: Solve for x
    x = 297,992.92/507.73
  6. Step 6: Final answer
    x = 586.91

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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.