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Finding the Fourth Proportional to 837.86, 1,251.10 and 780.45

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Solution

The fourth proportional to 837.86, 1,251.10 and 780.45 is: 1,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.86 : 1,251.10 = 780.45 : x
  2. Step 2: Convert to fraction form
    837.86/1,251.10 = 780.45/x
  3. Step 3: Cross multiply
    837.86x = 1,251.10 × 780.45
  4. Step 4: Simplify right side
    837.86x = 976,417.28
  5. Step 5: Solve for x
    x = 976,417.28/837.86
  6. Step 6: Final answer
    x = 1,165.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.