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Finding the Fourth Proportional to 738.56, 1,013.64 and 658.05

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Solution

The fourth proportional to 738.56, 1,013.64 and 658.05 is: 903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,013.64 = 658.05 : x
  2. Step 2: Convert to fraction form
    738.56/1,013.64 = 658.05/x
  3. Step 3: Cross multiply
    738.56x = 1,013.64 × 658.05
  4. Step 4: Simplify right side
    738.56x = 667,025.80
  5. Step 5: Solve for x
    x = 667,025.80/738.56
  6. Step 6: Final answer
    x = 903.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.