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Finding the Fourth Proportional to 1,266.31, 1,747.23 and 734.89

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Solution

The fourth proportional to 1,266.31, 1,747.23 and 734.89 is: 1,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.31 : 1,747.23 = 734.89 : x
  2. Step 2: Convert to fraction form
    1,266.31/1,747.23 = 734.89/x
  3. Step 3: Cross multiply
    1,266.31x = 1,747.23 × 734.89
  4. Step 4: Simplify right side
    1,266.31x = 1,284,009.44
  5. Step 5: Solve for x
    x = 1,284,009.44/1,266.31
  6. Step 6: Final answer
    x = 1,013.98

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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.