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Finding the Fourth Proportional to 939.15, 1,402.34 and 828.54

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Solution

The fourth proportional to 939.15, 1,402.34 and 828.54 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.15 : 1,402.34 = 828.54 : x
  2. Step 2: Convert to fraction form
    939.15/1,402.34 = 828.54/x
  3. Step 3: Cross multiply
    939.15x = 1,402.34 × 828.54
  4. Step 4: Simplify right side
    939.15x = 1,161,890.64
  5. Step 5: Solve for x
    x = 1,161,890.64/939.15
  6. Step 6: Final answer
    x = 1,237.17

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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.