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Finding the Fourth Proportional to 729.70, 1,094.50 and 290.94

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Solution

The fourth proportional to 729.70, 1,094.50 and 290.94 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.70 : 1,094.50 = 290.94 : x
  2. Step 2: Convert to fraction form
    729.70/1,094.50 = 290.94/x
  3. Step 3: Cross multiply
    729.70x = 1,094.50 × 290.94
  4. Step 4: Simplify right side
    729.70x = 318,428.45
  5. Step 5: Solve for x
    x = 318,428.45/729.70
  6. Step 6: Final answer
    x = 436.38

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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.