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Finding the Fourth Proportional to 823.49, 1,136.40 and 474.18

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Solution

The fourth proportional to 823.49, 1,136.40 and 474.18 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.49 : 1,136.40 = 474.18 : x
  2. Step 2: Convert to fraction form
    823.49/1,136.40 = 474.18/x
  3. Step 3: Cross multiply
    823.49x = 1,136.40 × 474.18
  4. Step 4: Simplify right side
    823.49x = 538,858.15
  5. Step 5: Solve for x
    x = 538,858.15/823.49
  6. Step 6: Final answer
    x = 654.36

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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.