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Finding the Fourth Proportional to 507.17, 760.28 and 263.19

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Solution

The fourth proportional to 507.17, 760.28 and 263.19 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.17 : 760.28 = 263.19 : x
  2. Step 2: Convert to fraction form
    507.17/760.28 = 263.19/x
  3. Step 3: Cross multiply
    507.17x = 760.28 × 263.19
  4. Step 4: Simplify right side
    507.17x = 200,098.09
  5. Step 5: Solve for x
    x = 200,098.09/507.17
  6. Step 6: Final answer
    x = 394.54

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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.