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Finding the Fourth Proportional to 849.98, 1,174.35 and 784.37

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Solution

The fourth proportional to 849.98, 1,174.35 and 784.37 is: 1,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.98 : 1,174.35 = 784.37 : x
  2. Step 2: Convert to fraction form
    849.98/1,174.35 = 784.37/x
  3. Step 3: Cross multiply
    849.98x = 1,174.35 × 784.37
  4. Step 4: Simplify right side
    849.98x = 921,119.04
  5. Step 5: Solve for x
    x = 921,119.04/849.98
  6. Step 6: Final answer
    x = 1,083.70

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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.