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Finding the Fourth Proportional to 1,053.03, 1,579.61 and 821.47

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Solution

The fourth proportional to 1,053.03, 1,579.61 and 821.47 is: 1,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.03 : 1,579.61 = 821.47 : x
  2. Step 2: Convert to fraction form
    1,053.03/1,579.61 = 821.47/x
  3. Step 3: Cross multiply
    1,053.03x = 1,579.61 × 821.47
  4. Step 4: Simplify right side
    1,053.03x = 1,297,602.23
  5. Step 5: Solve for x
    x = 1,297,602.23/1,053.03
  6. Step 6: Final answer
    x = 1,232.26

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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.