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Finding the Fourth Proportional to 941.42, 1,411.91 and 393.61

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Solution

The fourth proportional to 941.42, 1,411.91 and 393.61 is: 590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.42 : 1,411.91 = 393.61 : x
  2. Step 2: Convert to fraction form
    941.42/1,411.91 = 393.61/x
  3. Step 3: Cross multiply
    941.42x = 1,411.91 × 393.61
  4. Step 4: Simplify right side
    941.42x = 555,736.40
  5. Step 5: Solve for x
    x = 555,736.40/941.42
  6. Step 6: Final answer
    x = 590.32

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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.