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Finding the Fourth Proportional to 922.53, 1,383.53 and 345.27

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Solution

The fourth proportional to 922.53, 1,383.53 and 345.27 is: 517.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.53 : 1,383.53 = 345.27 : x
  2. Step 2: Convert to fraction form
    922.53/1,383.53 = 345.27/x
  3. Step 3: Cross multiply
    922.53x = 1,383.53 × 345.27
  4. Step 4: Simplify right side
    922.53x = 477,689.68
  5. Step 5: Solve for x
    x = 477,689.68/922.53
  6. Step 6: Final answer
    x = 517.80

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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.