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Finding the Fourth Proportional to 508.62, 764.10 and 401.70

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Solution

The fourth proportional to 508.62, 764.10 and 401.70 is: 603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.62 : 764.10 = 401.70 : x
  2. Step 2: Convert to fraction form
    508.62/764.10 = 401.70/x
  3. Step 3: Cross multiply
    508.62x = 764.10 × 401.70
  4. Step 4: Simplify right side
    508.62x = 306,938.97
  5. Step 5: Solve for x
    x = 306,938.97/508.62
  6. Step 6: Final answer
    x = 603.47

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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.