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Finding the Fourth Proportional to 1,156.63, 1,596.09 and 659.29

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Solution

The fourth proportional to 1,156.63, 1,596.09 and 659.29 is: 909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.63 : 1,596.09 = 659.29 : x
  2. Step 2: Convert to fraction form
    1,156.63/1,596.09 = 659.29/x
  3. Step 3: Cross multiply
    1,156.63x = 1,596.09 × 659.29
  4. Step 4: Simplify right side
    1,156.63x = 1,052,286.18
  5. Step 5: Solve for x
    x = 1,052,286.18/1,156.63
  6. Step 6: Final answer
    x = 909.79

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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.