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Finding the Fourth Proportional to 1,133.40, 1,564.17 and 661.44

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Solution

The fourth proportional to 1,133.40, 1,564.17 and 661.44 is: 912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.40 : 1,564.17 = 661.44 : x
  2. Step 2: Convert to fraction form
    1,133.40/1,564.17 = 661.44/x
  3. Step 3: Cross multiply
    1,133.40x = 1,564.17 × 661.44
  4. Step 4: Simplify right side
    1,133.40x = 1,034,604.60
  5. Step 5: Solve for x
    x = 1,034,604.60/1,133.40
  6. Step 6: Final answer
    x = 912.83

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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.