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Finding the Fourth Proportional to 837.62, 1,155.44 and 505.84

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Solution

The fourth proportional to 837.62, 1,155.44 and 505.84 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.62 : 1,155.44 = 505.84 : x
  2. Step 2: Convert to fraction form
    837.62/1,155.44 = 505.84/x
  3. Step 3: Cross multiply
    837.62x = 1,155.44 × 505.84
  4. Step 4: Simplify right side
    837.62x = 584,467.77
  5. Step 5: Solve for x
    x = 584,467.77/837.62
  6. Step 6: Final answer
    x = 697.77

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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.