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Finding the Fourth Proportional to 1,415.55, 2,122.77 and 490.95

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Solution

The fourth proportional to 1,415.55, 2,122.77 and 490.95 is: 736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.55 : 2,122.77 = 490.95 : x
  2. Step 2: Convert to fraction form
    1,415.55/2,122.77 = 490.95/x
  3. Step 3: Cross multiply
    1,415.55x = 2,122.77 × 490.95
  4. Step 4: Simplify right side
    1,415.55x = 1,042,173.93
  5. Step 5: Solve for x
    x = 1,042,173.93/1,415.55
  6. Step 6: Final answer
    x = 736.23

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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.