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Finding the Fourth Proportional to 823.53, 1,136.58 and 474.21

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Solution

The fourth proportional to 823.53, 1,136.58 and 474.21 is: 654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.53 : 1,136.58 = 474.21 : x
  2. Step 2: Convert to fraction form
    823.53/1,136.58 = 474.21/x
  3. Step 3: Cross multiply
    823.53x = 1,136.58 × 474.21
  4. Step 4: Simplify right side
    823.53x = 538,977.60
  5. Step 5: Solve for x
    x = 538,977.60/823.53
  6. Step 6: Final answer
    x = 654.47

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Double scale
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1.5x scale

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.