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Finding the Fourth Proportional to 828.68, 1,244.46 and 611.48

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Solution

The fourth proportional to 828.68, 1,244.46 and 611.48 is: 918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.68 : 1,244.46 = 611.48 : x
  2. Step 2: Convert to fraction form
    828.68/1,244.46 = 611.48/x
  3. Step 3: Cross multiply
    828.68x = 1,244.46 × 611.48
  4. Step 4: Simplify right side
    828.68x = 760,962.40
  5. Step 5: Solve for x
    x = 760,962.40/828.68
  6. Step 6: Final answer
    x = 918.28

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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.