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Finding the Fourth Proportional to 1,611.36, 2,416.71 and 637.23

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Solution

The fourth proportional to 1,611.36, 2,416.71 and 637.23 is: 955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.36 : 2,416.71 = 637.23 : x
  2. Step 2: Convert to fraction form
    1,611.36/2,416.71 = 637.23/x
  3. Step 3: Cross multiply
    1,611.36x = 2,416.71 × 637.23
  4. Step 4: Simplify right side
    1,611.36x = 1,540,000.11
  5. Step 5: Solve for x
    x = 1,540,000.11/1,611.36
  6. Step 6: Final answer
    x = 955.71

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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.