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Finding the Fourth Proportional to 1,161.37, 1,602.68 and 637.39

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Solution

The fourth proportional to 1,161.37, 1,602.68 and 637.39 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.37 : 1,602.68 = 637.39 : x
  2. Step 2: Convert to fraction form
    1,161.37/1,602.68 = 637.39/x
  3. Step 3: Cross multiply
    1,161.37x = 1,602.68 × 637.39
  4. Step 4: Simplify right side
    1,161.37x = 1,021,532.21
  5. Step 5: Solve for x
    x = 1,021,532.21/1,161.37
  6. Step 6: Final answer
    x = 879.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.