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Finding the Fourth Proportional to 1,021.74, 1,409.10 and 811.59

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Solution

The fourth proportional to 1,021.74, 1,409.10 and 811.59 is: 1,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.74 : 1,409.10 = 811.59 : x
  2. Step 2: Convert to fraction form
    1,021.74/1,409.10 = 811.59/x
  3. Step 3: Cross multiply
    1,021.74x = 1,409.10 × 811.59
  4. Step 4: Simplify right side
    1,021.74x = 1,143,611.47
  5. Step 5: Solve for x
    x = 1,143,611.47/1,021.74
  6. Step 6: Final answer
    x = 1,119.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.