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Finding the Fourth Proportional to 582.39, 871.77 and 499.34

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Solution

The fourth proportional to 582.39, 871.77 and 499.34 is: 747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 871.77 = 499.34 : x
  2. Step 2: Convert to fraction form
    582.39/871.77 = 499.34/x
  3. Step 3: Cross multiply
    582.39x = 871.77 × 499.34
  4. Step 4: Simplify right side
    582.39x = 435,309.63
  5. Step 5: Solve for x
    x = 435,309.63/582.39
  6. Step 6: Final answer
    x = 747.46

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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.