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Finding the Fourth Proportional to 493.11, 680.13 and 430.81

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Solution

The fourth proportional to 493.11, 680.13 and 430.81 is: 594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.11 : 680.13 = 430.81 : x
  2. Step 2: Convert to fraction form
    493.11/680.13 = 430.81/x
  3. Step 3: Cross multiply
    493.11x = 680.13 × 430.81
  4. Step 4: Simplify right side
    493.11x = 293,006.81
  5. Step 5: Solve for x
    x = 293,006.81/493.11
  6. Step 6: Final answer
    x = 594.20

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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.