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Finding the Fourth Proportional to 1,233.86, 1,851.30 and 453.94

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Solution

The fourth proportional to 1,233.86, 1,851.30 and 453.94 is: 681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.86 : 1,851.30 = 453.94 : x
  2. Step 2: Convert to fraction form
    1,233.86/1,851.30 = 453.94/x
  3. Step 3: Cross multiply
    1,233.86x = 1,851.30 × 453.94
  4. Step 4: Simplify right side
    1,233.86x = 840,374.49
  5. Step 5: Solve for x
    x = 840,374.49/1,233.86
  6. Step 6: Final answer
    x = 681.10

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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.