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Finding the Fourth Proportional to 507.87, 762.21 and 288.63

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Solution

The fourth proportional to 507.87, 762.21 and 288.63 is: 433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 762.21 = 288.63 : x
  2. Step 2: Convert to fraction form
    507.87/762.21 = 288.63/x
  3. Step 3: Cross multiply
    507.87x = 762.21 × 288.63
  4. Step 4: Simplify right side
    507.87x = 219,996.67
  5. Step 5: Solve for x
    x = 219,996.67/507.87
  6. Step 6: Final answer
    x = 433.18

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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.