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Finding the Fourth Proportional to 1,127.99, 1,556.38 and 685.64

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Solution

The fourth proportional to 1,127.99, 1,556.38 and 685.64 is: 946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.99 : 1,556.38 = 685.64 : x
  2. Step 2: Convert to fraction form
    1,127.99/1,556.38 = 685.64/x
  3. Step 3: Cross multiply
    1,127.99x = 1,556.38 × 685.64
  4. Step 4: Simplify right side
    1,127.99x = 1,067,116.38
  5. Step 5: Solve for x
    x = 1,067,116.38/1,127.99
  6. Step 6: Final answer
    x = 946.03

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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.