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Finding the Fourth Proportional to 1,439.15, 2,156.77 and 658.19

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Solution

The fourth proportional to 1,439.15, 2,156.77 and 658.19 is: 986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.15 : 2,156.77 = 658.19 : x
  2. Step 2: Convert to fraction form
    1,439.15/2,156.77 = 658.19/x
  3. Step 3: Cross multiply
    1,439.15x = 2,156.77 × 658.19
  4. Step 4: Simplify right side
    1,439.15x = 1,419,564.45
  5. Step 5: Solve for x
    x = 1,419,564.45/1,439.15
  6. Step 6: Final answer
    x = 986.39

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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.