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Finding the Fourth Proportional to 1,126.66, 1,555.11 and 684.74

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Solution

The fourth proportional to 1,126.66, 1,555.11 and 684.74 is: 945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.66 : 1,555.11 = 684.74 : x
  2. Step 2: Convert to fraction form
    1,126.66/1,555.11 = 684.74/x
  3. Step 3: Cross multiply
    1,126.66x = 1,555.11 × 684.74
  4. Step 4: Simplify right side
    1,126.66x = 1,064,846.02
  5. Step 5: Solve for x
    x = 1,064,846.02/1,126.66
  6. Step 6: Final answer
    x = 945.14

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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.