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Finding the Fourth Proportional to 947.06, 1,418.76 and 792.75

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Solution

The fourth proportional to 947.06, 1,418.76 and 792.75 is: 1,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.06 : 1,418.76 = 792.75 : x
  2. Step 2: Convert to fraction form
    947.06/1,418.76 = 792.75/x
  3. Step 3: Cross multiply
    947.06x = 1,418.76 × 792.75
  4. Step 4: Simplify right side
    947.06x = 1,124,721.99
  5. Step 5: Solve for x
    x = 1,124,721.99/947.06
  6. Step 6: Final answer
    x = 1,187.60

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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.