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Finding the Fourth Proportional to 519.68, 716.70 and 401.66

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Solution

The fourth proportional to 519.68, 716.70 and 401.66 is: 553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.68 : 716.70 = 401.66 : x
  2. Step 2: Convert to fraction form
    519.68/716.70 = 401.66/x
  3. Step 3: Cross multiply
    519.68x = 716.70 × 401.66
  4. Step 4: Simplify right side
    519.68x = 287,869.72
  5. Step 5: Solve for x
    x = 287,869.72/519.68
  6. Step 6: Final answer
    x = 553.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.