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Finding the Fourth Proportional to 1,293.32, 1,947.57 and 930.65

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Solution

The fourth proportional to 1,293.32, 1,947.57 and 930.65 is: 1,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.32 : 1,947.57 = 930.65 : x
  2. Step 2: Convert to fraction form
    1,293.32/1,947.57 = 930.65/x
  3. Step 3: Cross multiply
    1,293.32x = 1,947.57 × 930.65
  4. Step 4: Simplify right side
    1,293.32x = 1,812,496.28
  5. Step 5: Solve for x
    x = 1,812,496.28/1,293.32
  6. Step 6: Final answer
    x = 1,401.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.