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Finding the Fourth Proportional to 1,131.40, 1,561.55 and 659.40

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Solution

The fourth proportional to 1,131.40, 1,561.55 and 659.40 is: 910.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,561.55 = 659.40 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,561.55 = 659.40/x
  3. Step 3: Cross multiply
    1,131.40x = 1,561.55 × 659.40
  4. Step 4: Simplify right side
    1,131.40x = 1,029,676.92
  5. Step 5: Solve for x
    x = 1,029,676.92/1,131.40
  6. Step 6: Final answer
    x = 910.09

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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.