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Finding the Fourth Proportional to 730.25, 1,007.79 and 419.77

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Solution

The fourth proportional to 730.25, 1,007.79 and 419.77 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.25 : 1,007.79 = 419.77 : x
  2. Step 2: Convert to fraction form
    730.25/1,007.79 = 419.77/x
  3. Step 3: Cross multiply
    730.25x = 1,007.79 × 419.77
  4. Step 4: Simplify right side
    730.25x = 423,040.01
  5. Step 5: Solve for x
    x = 423,040.01/730.25
  6. Step 6: Final answer
    x = 579.31

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1.5x scale

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.