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Finding the Fourth Proportional to 1,231.49, 1,699.75 and 707.83

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Solution

The fourth proportional to 1,231.49, 1,699.75 and 707.83 is: 976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.49 : 1,699.75 = 707.83 : x
  2. Step 2: Convert to fraction form
    1,231.49/1,699.75 = 707.83/x
  3. Step 3: Cross multiply
    1,231.49x = 1,699.75 × 707.83
  4. Step 4: Simplify right side
    1,231.49x = 1,203,130.68
  5. Step 5: Solve for x
    x = 1,203,130.68/1,231.49
  6. Step 6: Final answer
    x = 976.97

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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.