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Finding the Fourth Proportional to 1,321.68, 1,823.91 and 761.82

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Solution

The fourth proportional to 1,321.68, 1,823.91 and 761.82 is: 1,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.68 : 1,823.91 = 761.82 : x
  2. Step 2: Convert to fraction form
    1,321.68/1,823.91 = 761.82/x
  3. Step 3: Cross multiply
    1,321.68x = 1,823.91 × 761.82
  4. Step 4: Simplify right side
    1,321.68x = 1,389,491.12
  5. Step 5: Solve for x
    x = 1,389,491.12/1,321.68
  6. Step 6: Final answer
    x = 1,051.31

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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.