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Finding the Fourth Proportional to 1,321.61, 1,822.62 and 824.30

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Solution

The fourth proportional to 1,321.61, 1,822.62 and 824.30 is: 1,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.61 : 1,822.62 = 824.30 : x
  2. Step 2: Convert to fraction form
    1,321.61/1,822.62 = 824.30/x
  3. Step 3: Cross multiply
    1,321.61x = 1,822.62 × 824.30
  4. Step 4: Simplify right side
    1,321.61x = 1,502,376.55
  5. Step 5: Solve for x
    x = 1,502,376.55/1,321.61
  6. Step 6: Final answer
    x = 1,136.78

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