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Finding the Fourth Proportional to 438.03, 653.54 and 411.75

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Solution

The fourth proportional to 438.03, 653.54 and 411.75 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.03 : 653.54 = 411.75 : x
  2. Step 2: Convert to fraction form
    438.03/653.54 = 411.75/x
  3. Step 3: Cross multiply
    438.03x = 653.54 × 411.75
  4. Step 4: Simplify right side
    438.03x = 269,093.04
  5. Step 5: Solve for x
    x = 269,093.04/438.03
  6. Step 6: Final answer
    x = 614.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.