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Finding the Fourth Proportional to 1,133.24, 1,563.87 and 661.46

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Solution

The fourth proportional to 1,133.24, 1,563.87 and 661.46 is: 912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.24 : 1,563.87 = 661.46 : x
  2. Step 2: Convert to fraction form
    1,133.24/1,563.87 = 661.46/x
  3. Step 3: Cross multiply
    1,133.24x = 1,563.87 × 661.46
  4. Step 4: Simplify right side
    1,133.24x = 1,034,437.45
  5. Step 5: Solve for x
    x = 1,034,437.45/1,133.24
  6. Step 6: Final answer
    x = 912.82

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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.