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Finding the Fourth Proportional to 738.16, 1,107 and 689.63

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Solution

The fourth proportional to 738.16, 1,107 and 689.63 is: 1,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,107 = 689.63 : x
  2. Step 2: Convert to fraction form
    738.16/1,107 = 689.63/x
  3. Step 3: Cross multiply
    738.16x = 1,107 × 689.63
  4. Step 4: Simplify right side
    738.16x = 763,414.88
  5. Step 5: Solve for x
    x = 763,414.88/738.16
  6. Step 6: Final answer
    x = 1,034.22

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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.