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Finding the Fourth Proportional to 1,242.23, 1,712.90 and 849.47

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Solution

The fourth proportional to 1,242.23, 1,712.90 and 849.47 is: 1,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.23 : 1,712.90 = 849.47 : x
  2. Step 2: Convert to fraction form
    1,242.23/1,712.90 = 849.47/x
  3. Step 3: Cross multiply
    1,242.23x = 1,712.90 × 849.47
  4. Step 4: Simplify right side
    1,242.23x = 1,455,050.72
  5. Step 5: Solve for x
    x = 1,455,050.72/1,242.23
  6. Step 6: Final answer
    x = 1,171.33

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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.