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Finding the Fourth Proportional to 435.72, 657.74 and 433.29

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Solution

The fourth proportional to 435.72, 657.74 and 433.29 is: 654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 657.74 = 433.29 : x
  2. Step 2: Convert to fraction form
    435.72/657.74 = 433.29/x
  3. Step 3: Cross multiply
    435.72x = 657.74 × 433.29
  4. Step 4: Simplify right side
    435.72x = 284,992.16
  5. Step 5: Solve for x
    x = 284,992.16/435.72
  6. Step 6: Final answer
    x = 654.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.