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Finding the Fourth Proportional to 1,390.08, 2,083.66 and 658.78

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Solution

The fourth proportional to 1,390.08, 2,083.66 and 658.78 is: 987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.08 : 2,083.66 = 658.78 : x
  2. Step 2: Convert to fraction form
    1,390.08/2,083.66 = 658.78/x
  3. Step 3: Cross multiply
    1,390.08x = 2,083.66 × 658.78
  4. Step 4: Simplify right side
    1,390.08x = 1,372,673.53
  5. Step 5: Solve for x
    x = 1,372,673.53/1,390.08
  6. Step 6: Final answer
    x = 987.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.