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Finding the Fourth Proportional to 733.36, 1,097.16 and 488.72

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Solution

The fourth proportional to 733.36, 1,097.16 and 488.72 is: 731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.36 : 1,097.16 = 488.72 : x
  2. Step 2: Convert to fraction form
    733.36/1,097.16 = 488.72/x
  3. Step 3: Cross multiply
    733.36x = 1,097.16 × 488.72
  4. Step 4: Simplify right side
    733.36x = 536,204.04
  5. Step 5: Solve for x
    x = 536,204.04/733.36
  6. Step 6: Final answer
    x = 731.16

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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.