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Finding the Fourth Proportional to 1,133.22, 1,692.78 and 1,031.16

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Solution

The fourth proportional to 1,133.22, 1,692.78 and 1,031.16 is: 1,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.22 : 1,692.78 = 1,031.16 : x
  2. Step 2: Convert to fraction form
    1,133.22/1,692.78 = 1,031.16/x
  3. Step 3: Cross multiply
    1,133.22x = 1,692.78 × 1,031.16
  4. Step 4: Simplify right side
    1,133.22x = 1,745,527.02
  5. Step 5: Solve for x
    x = 1,745,527.02/1,133.22
  6. Step 6: Final answer
    x = 1,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.