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Finding the Fourth Proportional to 2,391.30, 3,586.71 and 659.82

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Solution

The fourth proportional to 2,391.30, 3,586.71 and 659.82 is: 989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.30 : 3,586.71 = 659.82 : x
  2. Step 2: Convert to fraction form
    2,391.30/3,586.71 = 659.82/x
  3. Step 3: Cross multiply
    2,391.30x = 3,586.71 × 659.82
  4. Step 4: Simplify right side
    2,391.30x = 2,366,582.99
  5. Step 5: Solve for x
    x = 2,366,582.99/2,391.30
  6. Step 6: Final answer
    x = 989.66

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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.