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Finding the Fourth Proportional to 964.17, 1,439.20 and 828.09

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Solution

The fourth proportional to 964.17, 1,439.20 and 828.09 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.17 : 1,439.20 = 828.09 : x
  2. Step 2: Convert to fraction form
    964.17/1,439.20 = 828.09/x
  3. Step 3: Cross multiply
    964.17x = 1,439.20 × 828.09
  4. Step 4: Simplify right side
    964.17x = 1,191,788.16
  5. Step 5: Solve for x
    x = 1,191,788.16/964.17
  6. Step 6: Final answer
    x = 1,236.08

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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.