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Finding the Fourth Proportional to 1,517.37, 2,275.64 and 421.79

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Solution

The fourth proportional to 1,517.37, 2,275.64 and 421.79 is: 632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.37 : 2,275.64 = 421.79 : x
  2. Step 2: Convert to fraction form
    1,517.37/2,275.64 = 421.79/x
  3. Step 3: Cross multiply
    1,517.37x = 2,275.64 × 421.79
  4. Step 4: Simplify right side
    1,517.37x = 959,845.46
  5. Step 5: Solve for x
    x = 959,845.46/1,517.37
  6. Step 6: Final answer
    x = 632.57

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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.