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Finding the Fourth Proportional to 945.37, 1,410.44 and 823.87

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Solution

The fourth proportional to 945.37, 1,410.44 and 823.87 is: 1,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.37 : 1,410.44 = 823.87 : x
  2. Step 2: Convert to fraction form
    945.37/1,410.44 = 823.87/x
  3. Step 3: Cross multiply
    945.37x = 1,410.44 × 823.87
  4. Step 4: Simplify right side
    945.37x = 1,162,019.20
  5. Step 5: Solve for x
    x = 1,162,019.20/945.37
  6. Step 6: Final answer
    x = 1,229.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.