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Finding the Fourth Proportional to 922.23, 1,383.93 and 435.29

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Solution

The fourth proportional to 922.23, 1,383.93 and 435.29 is: 653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.23 : 1,383.93 = 435.29 : x
  2. Step 2: Convert to fraction form
    922.23/1,383.93 = 435.29/x
  3. Step 3: Cross multiply
    922.23x = 1,383.93 × 435.29
  4. Step 4: Simplify right side
    922.23x = 602,403.97
  5. Step 5: Solve for x
    x = 602,403.97/922.23
  6. Step 6: Final answer
    x = 653.20

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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.