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Finding the Fourth Proportional to 519.88, 718.32 and 421.46

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Solution

The fourth proportional to 519.88, 718.32 and 421.46 is: 582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.88 : 718.32 = 421.46 : x
  2. Step 2: Convert to fraction form
    519.88/718.32 = 421.46/x
  3. Step 3: Cross multiply
    519.88x = 718.32 × 421.46
  4. Step 4: Simplify right side
    519.88x = 302,743.15
  5. Step 5: Solve for x
    x = 302,743.15/519.88
  6. Step 6: Final answer
    x = 582.33

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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.