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Finding the Fourth Proportional to 508.78, 764.10 and 465.94

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Solution

The fourth proportional to 508.78, 764.10 and 465.94 is: 699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 764.10 = 465.94 : x
  2. Step 2: Convert to fraction form
    508.78/764.10 = 465.94/x
  3. Step 3: Cross multiply
    508.78x = 764.10 × 465.94
  4. Step 4: Simplify right side
    508.78x = 356,024.75
  5. Step 5: Solve for x
    x = 356,024.75/508.78
  6. Step 6: Final answer
    x = 699.76

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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.