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Finding the Fourth Proportional to 738.72, 1,103.64 and 670.56

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Solution

The fourth proportional to 738.72, 1,103.64 and 670.56 is: 1,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.72 : 1,103.64 = 670.56 : x
  2. Step 2: Convert to fraction form
    738.72/1,103.64 = 670.56/x
  3. Step 3: Cross multiply
    738.72x = 1,103.64 × 670.56
  4. Step 4: Simplify right side
    738.72x = 740,056.84
  5. Step 5: Solve for x
    x = 740,056.84/738.72
  6. Step 6: Final answer
    x = 1,001.81

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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.