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Finding the Fourth Proportional to 1,613.51, 2,420.27 and 639.61

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Solution

The fourth proportional to 1,613.51, 2,420.27 and 639.61 is: 959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.51 : 2,420.27 = 639.61 : x
  2. Step 2: Convert to fraction form
    1,613.51/2,420.27 = 639.61/x
  3. Step 3: Cross multiply
    1,613.51x = 2,420.27 × 639.61
  4. Step 4: Simplify right side
    1,613.51x = 1,548,019.65
  5. Step 5: Solve for x
    x = 1,548,019.65/1,613.51
  6. Step 6: Final answer
    x = 959.41

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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.