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Finding the Fourth Proportional to 1,044.33, 1,564.44 and 784.62

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Solution

The fourth proportional to 1,044.33, 1,564.44 and 784.62 is: 1,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.33 : 1,564.44 = 784.62 : x
  2. Step 2: Convert to fraction form
    1,044.33/1,564.44 = 784.62/x
  3. Step 3: Cross multiply
    1,044.33x = 1,564.44 × 784.62
  4. Step 4: Simplify right side
    1,044.33x = 1,227,490.91
  5. Step 5: Solve for x
    x = 1,227,490.91/1,044.33
  6. Step 6: Final answer
    x = 1,175.39

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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.