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Finding the Fourth Proportional to 507.44, 761.16 and 385.92

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Solution

The fourth proportional to 507.44, 761.16 and 385.92 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 761.16 = 385.92 : x
  2. Step 2: Convert to fraction form
    507.44/761.16 = 385.92/x
  3. Step 3: Cross multiply
    507.44x = 761.16 × 385.92
  4. Step 4: Simplify right side
    507.44x = 293,746.87
  5. Step 5: Solve for x
    x = 293,746.87/507.44
  6. Step 6: Final answer
    x = 578.88

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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.