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Finding the Fourth Proportional to 737.48, 1,018.33 and 658.65

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Solution

The fourth proportional to 737.48, 1,018.33 and 658.65 is: 909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.48 : 1,018.33 = 658.65 : x
  2. Step 2: Convert to fraction form
    737.48/1,018.33 = 658.65/x
  3. Step 3: Cross multiply
    737.48x = 1,018.33 × 658.65
  4. Step 4: Simplify right side
    737.48x = 670,723.05
  5. Step 5: Solve for x
    x = 670,723.05/737.48
  6. Step 6: Final answer
    x = 909.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.