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Finding the Fourth Proportional to 823.59, 1,136.39 and 474.21

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Solution

The fourth proportional to 823.59, 1,136.39 and 474.21 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,136.39 = 474.21 : x
  2. Step 2: Convert to fraction form
    823.59/1,136.39 = 474.21/x
  3. Step 3: Cross multiply
    823.59x = 1,136.39 × 474.21
  4. Step 4: Simplify right side
    823.59x = 538,885.13
  5. Step 5: Solve for x
    x = 538,885.13/823.59
  6. Step 6: Final answer
    x = 654.31

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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.