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Finding the Fourth Proportional to 1,127.66, 1,555.74 and 685.40

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Solution

The fourth proportional to 1,127.66, 1,555.74 and 685.40 is: 945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.66 : 1,555.74 = 685.40 : x
  2. Step 2: Convert to fraction form
    1,127.66/1,555.74 = 685.40/x
  3. Step 3: Cross multiply
    1,127.66x = 1,555.74 × 685.40
  4. Step 4: Simplify right side
    1,127.66x = 1,066,296.42
  5. Step 5: Solve for x
    x = 1,066,296.42/1,127.66
  6. Step 6: Final answer
    x = 945.59

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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.