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Finding the Fourth Proportional to 1,517.55, 2,275.86 and 421.65

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Solution

The fourth proportional to 1,517.55, 2,275.86 and 421.65 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.55 : 2,275.86 = 421.65 : x
  2. Step 2: Convert to fraction form
    1,517.55/2,275.86 = 421.65/x
  3. Step 3: Cross multiply
    1,517.55x = 2,275.86 × 421.65
  4. Step 4: Simplify right side
    1,517.55x = 959,616.37
  5. Step 5: Solve for x
    x = 959,616.37/1,517.55
  6. Step 6: Final answer
    x = 632.35

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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.