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Finding the Fourth Proportional to 837.41, 1,155.66 and 505.83

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Solution

The fourth proportional to 837.41, 1,155.66 and 505.83 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.41 : 1,155.66 = 505.83 : x
  2. Step 2: Convert to fraction form
    837.41/1,155.66 = 505.83/x
  3. Step 3: Cross multiply
    837.41x = 1,155.66 × 505.83
  4. Step 4: Simplify right side
    837.41x = 584,567.50
  5. Step 5: Solve for x
    x = 584,567.50/837.41
  6. Step 6: Final answer
    x = 698.07

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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.