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Finding the Fourth Proportional to 823.59, 1,136.50 and 474.25

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Solution

The fourth proportional to 823.59, 1,136.50 and 474.25 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.59 : 1,136.50 = 474.25 : x
  2. Step 2: Convert to fraction form
    823.59/1,136.50 = 474.25/x
  3. Step 3: Cross multiply
    823.59x = 1,136.50 × 474.25
  4. Step 4: Simplify right side
    823.59x = 538,985.13
  5. Step 5: Solve for x
    x = 538,985.13/823.59
  6. Step 6: Final answer
    x = 654.43

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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.