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Finding the Fourth Proportional to 849.94, 1,274.91 and 337.06

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Solution

The fourth proportional to 849.94, 1,274.91 and 337.06 is: 505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.94 : 1,274.91 = 337.06 : x
  2. Step 2: Convert to fraction form
    849.94/1,274.91 = 337.06/x
  3. Step 3: Cross multiply
    849.94x = 1,274.91 × 337.06
  4. Step 4: Simplify right side
    849.94x = 429,721.16
  5. Step 5: Solve for x
    x = 429,721.16/849.94
  6. Step 6: Final answer
    x = 505.59

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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.