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Finding the Fourth Proportional to 849.66, 1,274.04 and 438.63

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Solution

The fourth proportional to 849.66, 1,274.04 and 438.63 is: 657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,274.04 = 438.63 : x
  2. Step 2: Convert to fraction form
    849.66/1,274.04 = 438.63/x
  3. Step 3: Cross multiply
    849.66x = 1,274.04 × 438.63
  4. Step 4: Simplify right side
    849.66x = 558,832.17
  5. Step 5: Solve for x
    x = 558,832.17/849.66
  6. Step 6: Final answer
    x = 657.71

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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.