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Finding the Fourth Proportional to 922.35, 1,383.99 and 435.33

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Solution

The fourth proportional to 922.35, 1,383.99 and 435.33 is: 653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.35 : 1,383.99 = 435.33 : x
  2. Step 2: Convert to fraction form
    922.35/1,383.99 = 435.33/x
  3. Step 3: Cross multiply
    922.35x = 1,383.99 × 435.33
  4. Step 4: Simplify right side
    922.35x = 602,492.37
  5. Step 5: Solve for x
    x = 602,492.37/922.35
  6. Step 6: Final answer
    x = 653.21

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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.