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Finding the Fourth Proportional to 736.40, 1,105.01 and 297.69

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Solution

The fourth proportional to 736.40, 1,105.01 and 297.69 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.40 : 1,105.01 = 297.69 : x
  2. Step 2: Convert to fraction form
    736.40/1,105.01 = 297.69/x
  3. Step 3: Cross multiply
    736.40x = 1,105.01 × 297.69
  4. Step 4: Simplify right side
    736.40x = 328,948.94
  5. Step 5: Solve for x
    x = 328,948.94/736.40
  6. Step 6: Final answer
    x = 446.70

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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.