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Finding the Fourth Proportional to 1,126.01, 1,553.62 and 683.93

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Solution

The fourth proportional to 1,126.01, 1,553.62 and 683.93 is: 943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.01 : 1,553.62 = 683.93 : x
  2. Step 2: Convert to fraction form
    1,126.01/1,553.62 = 683.93/x
  3. Step 3: Cross multiply
    1,126.01x = 1,553.62 × 683.93
  4. Step 4: Simplify right side
    1,126.01x = 1,062,567.33
  5. Step 5: Solve for x
    x = 1,062,567.33/1,126.01
  6. Step 6: Final answer
    x = 943.66

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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.