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Finding the Fourth Proportional to 837.86, 1,157.36 and 643.78

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Solution

The fourth proportional to 837.86, 1,157.36 and 643.78 is: 889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.86 : 1,157.36 = 643.78 : x
  2. Step 2: Convert to fraction form
    837.86/1,157.36 = 643.78/x
  3. Step 3: Cross multiply
    837.86x = 1,157.36 × 643.78
  4. Step 4: Simplify right side
    837.86x = 745,085.22
  5. Step 5: Solve for x
    x = 745,085.22/837.86
  6. Step 6: Final answer
    x = 889.27

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