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Finding the Fourth Proportional to 940.69, 1,411.33 and 421.13

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Solution

The fourth proportional to 940.69, 1,411.33 and 421.13 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,411.33 = 421.13 : x
  2. Step 2: Convert to fraction form
    940.69/1,411.33 = 421.13/x
  3. Step 3: Cross multiply
    940.69x = 1,411.33 × 421.13
  4. Step 4: Simplify right side
    940.69x = 594,351.30
  5. Step 5: Solve for x
    x = 594,351.30/940.69
  6. Step 6: Final answer
    x = 631.82

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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.