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Finding the Fourth Proportional to 728.46, 1,005.28 and 429.77

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Solution

The fourth proportional to 728.46, 1,005.28 and 429.77 is: 593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.46 : 1,005.28 = 429.77 : x
  2. Step 2: Convert to fraction form
    728.46/1,005.28 = 429.77/x
  3. Step 3: Cross multiply
    728.46x = 1,005.28 × 429.77
  4. Step 4: Simplify right side
    728.46x = 432,040.62
  5. Step 5: Solve for x
    x = 432,040.62/728.46
  6. Step 6: Final answer
    x = 593.09

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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.