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Finding the Fourth Proportional to 1,053.82, 1,581.71 and 534.19

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Solution

The fourth proportional to 1,053.82, 1,581.71 and 534.19 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.82 : 1,581.71 = 534.19 : x
  2. Step 2: Convert to fraction form
    1,053.82/1,581.71 = 534.19/x
  3. Step 3: Cross multiply
    1,053.82x = 1,581.71 × 534.19
  4. Step 4: Simplify right side
    1,053.82x = 844,933.66
  5. Step 5: Solve for x
    x = 844,933.66/1,053.82
  6. Step 6: Final answer
    x = 801.78

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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.