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Finding the Fourth Proportional to 823.83, 1,136.90 and 469.82

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Solution

The fourth proportional to 823.83, 1,136.90 and 469.82 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.83 : 1,136.90 = 469.82 : x
  2. Step 2: Convert to fraction form
    823.83/1,136.90 = 469.82/x
  3. Step 3: Cross multiply
    823.83x = 1,136.90 × 469.82
  4. Step 4: Simplify right side
    823.83x = 534,138.36
  5. Step 5: Solve for x
    x = 534,138.36/823.83
  6. Step 6: Final answer
    x = 648.36

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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.