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Finding the Fourth Proportional to 828.54, 1,148.82 and 784.80

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Solution

The fourth proportional to 828.54, 1,148.82 and 784.80 is: 1,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,148.82 = 784.80 : x
  2. Step 2: Convert to fraction form
    828.54/1,148.82 = 784.80/x
  3. Step 3: Cross multiply
    828.54x = 1,148.82 × 784.80
  4. Step 4: Simplify right side
    828.54x = 901,593.94
  5. Step 5: Solve for x
    x = 901,593.94/828.54
  6. Step 6: Final answer
    x = 1,088.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.