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Finding the Fourth Proportional to 513.83, 709.61 and 421.49

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Solution

The fourth proportional to 513.83, 709.61 and 421.49 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.83 : 709.61 = 421.49 : x
  2. Step 2: Convert to fraction form
    513.83/709.61 = 421.49/x
  3. Step 3: Cross multiply
    513.83x = 709.61 × 421.49
  4. Step 4: Simplify right side
    513.83x = 299,087.86
  5. Step 5: Solve for x
    x = 299,087.86/513.83
  6. Step 6: Final answer
    x = 582.08

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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.