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Finding the Fourth Proportional to 738.54, 1,102.53 and 712.89

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Solution

The fourth proportional to 738.54, 1,102.53 and 712.89 is: 1,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.54 : 1,102.53 = 712.89 : x
  2. Step 2: Convert to fraction form
    738.54/1,102.53 = 712.89/x
  3. Step 3: Cross multiply
    738.54x = 1,102.53 × 712.89
  4. Step 4: Simplify right side
    738.54x = 785,982.61
  5. Step 5: Solve for x
    x = 785,982.61/738.54
  6. Step 6: Final answer
    x = 1,064.24

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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.