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Finding the Fourth Proportional to 1,293.09, 1,940.46 and 562.50

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Solution

The fourth proportional to 1,293.09, 1,940.46 and 562.50 is: 844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.09 : 1,940.46 = 562.50 : x
  2. Step 2: Convert to fraction form
    1,293.09/1,940.46 = 562.50/x
  3. Step 3: Cross multiply
    1,293.09x = 1,940.46 × 562.50
  4. Step 4: Simplify right side
    1,293.09x = 1,091,508.75
  5. Step 5: Solve for x
    x = 1,091,508.75/1,293.09
  6. Step 6: Final answer
    x = 844.11

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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.