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Finding the Fourth Proportional to 945.72, 1,415.34 and 823.32

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Solution

The fourth proportional to 945.72, 1,415.34 and 823.32 is: 1,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.72 : 1,415.34 = 823.32 : x
  2. Step 2: Convert to fraction form
    945.72/1,415.34 = 823.32/x
  3. Step 3: Cross multiply
    945.72x = 1,415.34 × 823.32
  4. Step 4: Simplify right side
    945.72x = 1,165,277.73
  5. Step 5: Solve for x
    x = 1,165,277.73/945.72
  6. Step 6: Final answer
    x = 1,232.16

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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.