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Finding the Fourth Proportional to 832.90, 1,249.40 and 421.56

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Solution

The fourth proportional to 832.90, 1,249.40 and 421.56 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.90 : 1,249.40 = 421.56 : x
  2. Step 2: Convert to fraction form
    832.90/1,249.40 = 421.56/x
  3. Step 3: Cross multiply
    832.90x = 1,249.40 × 421.56
  4. Step 4: Simplify right side
    832.90x = 526,697.06
  5. Step 5: Solve for x
    x = 526,697.06/832.90
  6. Step 6: Final answer
    x = 632.37

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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.