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Finding the Fourth Proportional to 519.67, 718.10 and 494.36

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Solution

The fourth proportional to 519.67, 718.10 and 494.36 is: 683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 718.10 = 494.36 : x
  2. Step 2: Convert to fraction form
    519.67/718.10 = 494.36/x
  3. Step 3: Cross multiply
    519.67x = 718.10 × 494.36
  4. Step 4: Simplify right side
    519.67x = 354,999.92
  5. Step 5: Solve for x
    x = 354,999.92/519.67
  6. Step 6: Final answer
    x = 683.13

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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.