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Finding the Fourth Proportional to 902.33, 1,353.66 and 286.08

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Solution

The fourth proportional to 902.33, 1,353.66 and 286.08 is: 429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,353.66 = 286.08 : x
  2. Step 2: Convert to fraction form
    902.33/1,353.66 = 286.08/x
  3. Step 3: Cross multiply
    902.33x = 1,353.66 × 286.08
  4. Step 4: Simplify right side
    902.33x = 387,255.05
  5. Step 5: Solve for x
    x = 387,255.05/902.33
  6. Step 6: Final answer
    x = 429.17

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.