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Finding the Fourth Proportional to 728.39, 1,004.82 and 433.45

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Solution

The fourth proportional to 728.39, 1,004.82 and 433.45 is: 597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.39 : 1,004.82 = 433.45 : x
  2. Step 2: Convert to fraction form
    728.39/1,004.82 = 433.45/x
  3. Step 3: Cross multiply
    728.39x = 1,004.82 × 433.45
  4. Step 4: Simplify right side
    728.39x = 435,533.21
  5. Step 5: Solve for x
    x = 435,533.21/728.39
  6. Step 6: Final answer
    x = 597.94

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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.