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Finding the Fourth Proportional to 901.80, 1,349.82 and 729

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Solution

The fourth proportional to 901.80, 1,349.82 and 729 is: 1,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.80 : 1,349.82 = 729 : x
  2. Step 2: Convert to fraction form
    901.80/1,349.82 = 729/x
  3. Step 3: Cross multiply
    901.80x = 1,349.82 × 729
  4. Step 4: Simplify right side
    901.80x = 984,018.78
  5. Step 5: Solve for x
    x = 984,018.78/901.80
  6. Step 6: Final answer
    x = 1,091.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.