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Finding the Fourth Proportional to 522.25, 783.38 and 305.68

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Solution

The fourth proportional to 522.25, 783.38 and 305.68 is: 458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.25 : 783.38 = 305.68 : x
  2. Step 2: Convert to fraction form
    522.25/783.38 = 305.68/x
  3. Step 3: Cross multiply
    522.25x = 783.38 × 305.68
  4. Step 4: Simplify right side
    522.25x = 239,463.60
  5. Step 5: Solve for x
    x = 239,463.60/522.25
  6. Step 6: Final answer
    x = 458.52

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Double scale
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Similar ratio
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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.