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Finding the Fourth Proportional to 832.34, 1,249.67 and 421.77

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Solution

The fourth proportional to 832.34, 1,249.67 and 421.77 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.34 : 1,249.67 = 421.77 : x
  2. Step 2: Convert to fraction form
    832.34/1,249.67 = 421.77/x
  3. Step 3: Cross multiply
    832.34x = 1,249.67 × 421.77
  4. Step 4: Simplify right side
    832.34x = 527,066.86
  5. Step 5: Solve for x
    x = 527,066.86/832.34
  6. Step 6: Final answer
    x = 633.23

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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.