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Finding the Fourth Proportional to 1,083.65, 1,495.64 and 641.77

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Solution

The fourth proportional to 1,083.65, 1,495.64 and 641.77 is: 885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.65 : 1,495.64 = 641.77 : x
  2. Step 2: Convert to fraction form
    1,083.65/1,495.64 = 641.77/x
  3. Step 3: Cross multiply
    1,083.65x = 1,495.64 × 641.77
  4. Step 4: Simplify right side
    1,083.65x = 959,855.54
  5. Step 5: Solve for x
    x = 959,855.54/1,083.65
  6. Step 6: Final answer
    x = 885.76

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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.