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Finding the Fourth Proportional to 849.35, 1,171.53 and 738.65

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Solution

The fourth proportional to 849.35, 1,171.53 and 738.65 is: 1,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.35 : 1,171.53 = 738.65 : x
  2. Step 2: Convert to fraction form
    849.35/1,171.53 = 738.65/x
  3. Step 3: Cross multiply
    849.35x = 1,171.53 × 738.65
  4. Step 4: Simplify right side
    849.35x = 865,353.56
  5. Step 5: Solve for x
    x = 865,353.56/849.35
  6. Step 6: Final answer
    x = 1,018.84

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1.5x scale

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.