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Finding the Fourth Proportional to 837.30, 1,155.52 and 557.09

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Solution

The fourth proportional to 837.30, 1,155.52 and 557.09 is: 768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.30 : 1,155.52 = 557.09 : x
  2. Step 2: Convert to fraction form
    837.30/1,155.52 = 557.09/x
  3. Step 3: Cross multiply
    837.30x = 1,155.52 × 557.09
  4. Step 4: Simplify right side
    837.30x = 643,722.96
  5. Step 5: Solve for x
    x = 643,722.96/837.30
  6. Step 6: Final answer
    x = 768.81

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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.