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Finding the Fourth Proportional to 947.89, 1,308.32 and 685.86

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Solution

The fourth proportional to 947.89, 1,308.32 and 685.86 is: 946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.89 : 1,308.32 = 685.86 : x
  2. Step 2: Convert to fraction form
    947.89/1,308.32 = 685.86/x
  3. Step 3: Cross multiply
    947.89x = 1,308.32 × 685.86
  4. Step 4: Simplify right side
    947.89x = 897,324.36
  5. Step 5: Solve for x
    x = 897,324.36/947.89
  6. Step 6: Final answer
    x = 946.65

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1.5x scale

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.