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Finding the Fourth Proportional to 1,114.26, 1,537.70 and 641.90

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Solution

The fourth proportional to 1,114.26, 1,537.70 and 641.90 is: 885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.26 : 1,537.70 = 641.90 : x
  2. Step 2: Convert to fraction form
    1,114.26/1,537.70 = 641.90/x
  3. Step 3: Cross multiply
    1,114.26x = 1,537.70 × 641.90
  4. Step 4: Simplify right side
    1,114.26x = 987,038.73
  5. Step 5: Solve for x
    x = 987,038.73/1,114.26
  6. Step 6: Final answer
    x = 885.82

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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.