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Finding the Fourth Proportional to 1,112.76, 1,535.62 and 647

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Solution

The fourth proportional to 1,112.76, 1,535.62 and 647 is: 892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.76 : 1,535.62 = 647 : x
  2. Step 2: Convert to fraction form
    1,112.76/1,535.62 = 647/x
  3. Step 3: Cross multiply
    1,112.76x = 1,535.62 × 647
  4. Step 4: Simplify right side
    1,112.76x = 993,546.14
  5. Step 5: Solve for x
    x = 993,546.14/1,112.76
  6. Step 6: Final answer
    x = 892.87

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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.