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Finding the Fourth Proportional to 730.91, 1,009.04 and 496.10

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Solution

The fourth proportional to 730.91, 1,009.04 and 496.10 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.91 : 1,009.04 = 496.10 : x
  2. Step 2: Convert to fraction form
    730.91/1,009.04 = 496.10/x
  3. Step 3: Cross multiply
    730.91x = 1,009.04 × 496.10
  4. Step 4: Simplify right side
    730.91x = 500,584.74
  5. Step 5: Solve for x
    x = 500,584.74/730.91
  6. Step 6: Final answer
    x = 684.88

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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.