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Finding the Fourth Proportional to 823.82, 1,136.55 and 474.32

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Solution

The fourth proportional to 823.82, 1,136.55 and 474.32 is: 654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.82 : 1,136.55 = 474.32 : x
  2. Step 2: Convert to fraction form
    823.82/1,136.55 = 474.32/x
  3. Step 3: Cross multiply
    823.82x = 1,136.55 × 474.32
  4. Step 4: Simplify right side
    823.82x = 539,088.40
  5. Step 5: Solve for x
    x = 539,088.40/823.82
  6. Step 6: Final answer
    x = 654.38

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Half scale
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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.