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Finding the Fourth Proportional to 940.89, 1,411.43 and 363.75

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Solution

The fourth proportional to 940.89, 1,411.43 and 363.75 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,411.43 = 363.75 : x
  2. Step 2: Convert to fraction form
    940.89/1,411.43 = 363.75/x
  3. Step 3: Cross multiply
    940.89x = 1,411.43 × 363.75
  4. Step 4: Simplify right side
    940.89x = 513,405.84
  5. Step 5: Solve for x
    x = 513,405.84/940.89
  6. Step 6: Final answer
    x = 545.66

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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.