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Finding the Fourth Proportional to 730.40, 1,007.86 and 419.92

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Solution

The fourth proportional to 730.40, 1,007.86 and 419.92 is: 579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,007.86 = 419.92 : x
  2. Step 2: Convert to fraction form
    730.40/1,007.86 = 419.92/x
  3. Step 3: Cross multiply
    730.40x = 1,007.86 × 419.92
  4. Step 4: Simplify right side
    730.40x = 423,220.57
  5. Step 5: Solve for x
    x = 423,220.57/730.40
  6. Step 6: Final answer
    x = 579.44

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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.