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Finding the Fourth Proportional to 729.04, 1,005.75 and 418.54

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Solution

The fourth proportional to 729.04, 1,005.75 and 418.54 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.04 : 1,005.75 = 418.54 : x
  2. Step 2: Convert to fraction form
    729.04/1,005.75 = 418.54/x
  3. Step 3: Cross multiply
    729.04x = 1,005.75 × 418.54
  4. Step 4: Simplify right side
    729.04x = 420,946.61
  5. Step 5: Solve for x
    x = 420,946.61/729.04
  6. Step 6: Final answer
    x = 577.40

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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.