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Finding the Fourth Proportional to 1,133.91, 1,564.67 and 760.81

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Solution

The fourth proportional to 1,133.91, 1,564.67 and 760.81 is: 1,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.91 : 1,564.67 = 760.81 : x
  2. Step 2: Convert to fraction form
    1,133.91/1,564.67 = 760.81/x
  3. Step 3: Cross multiply
    1,133.91x = 1,564.67 × 760.81
  4. Step 4: Simplify right side
    1,133.91x = 1,190,418.48
  5. Step 5: Solve for x
    x = 1,190,418.48/1,133.91
  6. Step 6: Final answer
    x = 1,049.84

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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.