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Finding the Fourth Proportional to 494.69, 741.72 and 421.59

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Solution

The fourth proportional to 494.69, 741.72 and 421.59 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.69 : 741.72 = 421.59 : x
  2. Step 2: Convert to fraction form
    494.69/741.72 = 421.59/x
  3. Step 3: Cross multiply
    494.69x = 741.72 × 421.59
  4. Step 4: Simplify right side
    494.69x = 312,701.93
  5. Step 5: Solve for x
    x = 312,701.93/494.69
  6. Step 6: Final answer
    x = 632.12

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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.