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Finding the Fourth Proportional to 1,083.50, 1,495.61 and 641.40

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Solution

The fourth proportional to 1,083.50, 1,495.61 and 641.40 is: 885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.50 : 1,495.61 = 641.40 : x
  2. Step 2: Convert to fraction form
    1,083.50/1,495.61 = 641.40/x
  3. Step 3: Cross multiply
    1,083.50x = 1,495.61 × 641.40
  4. Step 4: Simplify right side
    1,083.50x = 959,273.57
  5. Step 5: Solve for x
    x = 959,273.57/1,083.50
  6. Step 6: Final answer
    x = 885.35

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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.