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Finding the Fourth Proportional to 507.87, 762.24 and 371.19

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Solution

The fourth proportional to 507.87, 762.24 and 371.19 is: 557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 762.24 = 371.19 : x
  2. Step 2: Convert to fraction form
    507.87/762.24 = 371.19/x
  3. Step 3: Cross multiply
    507.87x = 762.24 × 371.19
  4. Step 4: Simplify right side
    507.87x = 282,935.87
  5. Step 5: Solve for x
    x = 282,935.87/507.87
  6. Step 6: Final answer
    x = 557.10

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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.