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Finding the Fourth Proportional to 1,415.61, 2,123.49 and 441.66

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Solution

The fourth proportional to 1,415.61, 2,123.49 and 441.66 is: 662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.61 : 2,123.49 = 441.66 : x
  2. Step 2: Convert to fraction form
    1,415.61/2,123.49 = 441.66/x
  3. Step 3: Cross multiply
    1,415.61x = 2,123.49 × 441.66
  4. Step 4: Simplify right side
    1,415.61x = 937,860.59
  5. Step 5: Solve for x
    x = 937,860.59/1,415.61
  6. Step 6: Final answer
    x = 662.51

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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.