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Finding the Fourth Proportional to 941.02, 1,411.92 and 363.76

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Solution

The fourth proportional to 941.02, 1,411.92 and 363.76 is: 545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.02 : 1,411.92 = 363.76 : x
  2. Step 2: Convert to fraction form
    941.02/1,411.92 = 363.76/x
  3. Step 3: Cross multiply
    941.02x = 1,411.92 × 363.76
  4. Step 4: Simplify right side
    941.02x = 513,600.02
  5. Step 5: Solve for x
    x = 513,600.02/941.02
  6. Step 6: Final answer
    x = 545.79

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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.