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Finding the Fourth Proportional to 507.87, 759.56 and 312.39

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Solution

The fourth proportional to 507.87, 759.56 and 312.39 is: 467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.87 : 759.56 = 312.39 : x
  2. Step 2: Convert to fraction form
    507.87/759.56 = 312.39/x
  3. Step 3: Cross multiply
    507.87x = 759.56 × 312.39
  4. Step 4: Simplify right side
    507.87x = 237,274.54
  5. Step 5: Solve for x
    x = 237,274.54/507.87
  6. Step 6: Final answer
    x = 467.20

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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.