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Finding the Fourth Proportional to 1,112.46, 1,534.20 and 758.22

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Solution

The fourth proportional to 1,112.46, 1,534.20 and 758.22 is: 1,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.46 : 1,534.20 = 758.22 : x
  2. Step 2: Convert to fraction form
    1,112.46/1,534.20 = 758.22/x
  3. Step 3: Cross multiply
    1,112.46x = 1,534.20 × 758.22
  4. Step 4: Simplify right side
    1,112.46x = 1,163,261.12
  5. Step 5: Solve for x
    x = 1,163,261.12/1,112.46
  6. Step 6: Final answer
    x = 1,045.67

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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.