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Finding the Fourth Proportional to 730.79, 1,008.11 and 494.74

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Solution

The fourth proportional to 730.79, 1,008.11 and 494.74 is: 682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.79 : 1,008.11 = 494.74 : x
  2. Step 2: Convert to fraction form
    730.79/1,008.11 = 494.74/x
  3. Step 3: Cross multiply
    730.79x = 1,008.11 × 494.74
  4. Step 4: Simplify right side
    730.79x = 498,752.98
  5. Step 5: Solve for x
    x = 498,752.98/730.79
  6. Step 6: Final answer
    x = 682.49

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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.