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Finding the Fourth Proportional to 940.89, 1,411.47 and 363.90

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Solution

The fourth proportional to 940.89, 1,411.47 and 363.90 is: 545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,411.47 = 363.90 : x
  2. Step 2: Convert to fraction form
    940.89/1,411.47 = 363.90/x
  3. Step 3: Cross multiply
    940.89x = 1,411.47 × 363.90
  4. Step 4: Simplify right side
    940.89x = 513,633.93
  5. Step 5: Solve for x
    x = 513,633.93/940.89
  6. Step 6: Final answer
    x = 545.90

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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.