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Finding the Fourth Proportional to 1,127.18, 1,556 and 685.22

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Solution

The fourth proportional to 1,127.18, 1,556 and 685.22 is: 945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.18 : 1,556 = 685.22 : x
  2. Step 2: Convert to fraction form
    1,127.18/1,556 = 685.22/x
  3. Step 3: Cross multiply
    1,127.18x = 1,556 × 685.22
  4. Step 4: Simplify right side
    1,127.18x = 1,066,202.32
  5. Step 5: Solve for x
    x = 1,066,202.32/1,127.18
  6. Step 6: Final answer
    x = 945.90

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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.