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Finding the Fourth Proportional to 736.64, 1,097.78 and 714.39

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Solution

The fourth proportional to 736.64, 1,097.78 and 714.39 is: 1,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.64 : 1,097.78 = 714.39 : x
  2. Step 2: Convert to fraction form
    736.64/1,097.78 = 714.39/x
  3. Step 3: Cross multiply
    736.64x = 1,097.78 × 714.39
  4. Step 4: Simplify right side
    736.64x = 784,243.05
  5. Step 5: Solve for x
    x = 784,243.05/736.64
  6. Step 6: Final answer
    x = 1,064.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.