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Finding the Fourth Proportional to 730.97, 1,008.75 and 436.25

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Solution

The fourth proportional to 730.97, 1,008.75 and 436.25 is: 602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,008.75 = 436.25 : x
  2. Step 2: Convert to fraction form
    730.97/1,008.75 = 436.25/x
  3. Step 3: Cross multiply
    730.97x = 1,008.75 × 436.25
  4. Step 4: Simplify right side
    730.97x = 440,067.19
  5. Step 5: Solve for x
    x = 440,067.19/730.97
  6. Step 6: Final answer
    x = 602.03

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Double scale
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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.