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Finding the Fourth Proportional to 671.07, 1,007.13 and 541.38

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Solution

The fourth proportional to 671.07, 1,007.13 and 541.38 is: 812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.07 : 1,007.13 = 541.38 : x
  2. Step 2: Convert to fraction form
    671.07/1,007.13 = 541.38/x
  3. Step 3: Cross multiply
    671.07x = 1,007.13 × 541.38
  4. Step 4: Simplify right side
    671.07x = 545,240.04
  5. Step 5: Solve for x
    x = 545,240.04/671.07
  6. Step 6: Final answer
    x = 812.49

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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.