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Finding the Fourth Proportional to 1,615.51, 2,422.63 and 642.25

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Solution

The fourth proportional to 1,615.51, 2,422.63 and 642.25 is: 963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.51 : 2,422.63 = 642.25 : x
  2. Step 2: Convert to fraction form
    1,615.51/2,422.63 = 642.25/x
  3. Step 3: Cross multiply
    1,615.51x = 2,422.63 × 642.25
  4. Step 4: Simplify right side
    1,615.51x = 1,555,934.12
  5. Step 5: Solve for x
    x = 1,555,934.12/1,615.51
  6. Step 6: Final answer
    x = 963.12

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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.