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Finding the Fourth Proportional to 738.47, 1,102.42 and 712.85

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Solution

The fourth proportional to 738.47, 1,102.42 and 712.85 is: 1,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.47 : 1,102.42 = 712.85 : x
  2. Step 2: Convert to fraction form
    738.47/1,102.42 = 712.85/x
  3. Step 3: Cross multiply
    738.47x = 1,102.42 × 712.85
  4. Step 4: Simplify right side
    738.47x = 785,860.10
  5. Step 5: Solve for x
    x = 785,860.10/738.47
  6. Step 6: Final answer
    x = 1,064.17

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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.