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Finding the Fourth Proportional to 1,131, 1,560.64 and 659.03

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Solution

The fourth proportional to 1,131, 1,560.64 and 659.03 is: 909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131 : 1,560.64 = 659.03 : x
  2. Step 2: Convert to fraction form
    1,131/1,560.64 = 659.03/x
  3. Step 3: Cross multiply
    1,131x = 1,560.64 × 659.03
  4. Step 4: Simplify right side
    1,131x = 1,028,499.13
  5. Step 5: Solve for x
    x = 1,028,499.13/1,131
  6. Step 6: Final answer
    x = 909.37

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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.