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Finding the Fourth Proportional to 1,561.64, 2,342.39 and 636.89

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Solution

The fourth proportional to 1,561.64, 2,342.39 and 636.89 is: 955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.64 : 2,342.39 = 636.89 : x
  2. Step 2: Convert to fraction form
    1,561.64/2,342.39 = 636.89/x
  3. Step 3: Cross multiply
    1,561.64x = 2,342.39 × 636.89
  4. Step 4: Simplify right side
    1,561.64x = 1,491,829.87
  5. Step 5: Solve for x
    x = 1,491,829.87/1,561.64
  6. Step 6: Final answer
    x = 955.30

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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.