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Finding the Fourth Proportional to 1,112.50, 1,669.07 and 650.17

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Solution

The fourth proportional to 1,112.50, 1,669.07 and 650.17 is: 975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.50 : 1,669.07 = 650.17 : x
  2. Step 2: Convert to fraction form
    1,112.50/1,669.07 = 650.17/x
  3. Step 3: Cross multiply
    1,112.50x = 1,669.07 × 650.17
  4. Step 4: Simplify right side
    1,112.50x = 1,085,179.24
  5. Step 5: Solve for x
    x = 1,085,179.24/1,112.50
  6. Step 6: Final answer
    x = 975.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.