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Finding the Fourth Proportional to 1,232.02, 1,847.45 and 451.47

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Solution

The fourth proportional to 1,232.02, 1,847.45 and 451.47 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.02 : 1,847.45 = 451.47 : x
  2. Step 2: Convert to fraction form
    1,232.02/1,847.45 = 451.47/x
  3. Step 3: Cross multiply
    1,232.02x = 1,847.45 × 451.47
  4. Step 4: Simplify right side
    1,232.02x = 834,068.25
  5. Step 5: Solve for x
    x = 834,068.25/1,232.02
  6. Step 6: Final answer
    x = 676.99

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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.