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Finding the Fourth Proportional to 940.76, 1,412.02 and 447.47

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Solution

The fourth proportional to 940.76, 1,412.02 and 447.47 is: 671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,412.02 = 447.47 : x
  2. Step 2: Convert to fraction form
    940.76/1,412.02 = 447.47/x
  3. Step 3: Cross multiply
    940.76x = 1,412.02 × 447.47
  4. Step 4: Simplify right side
    940.76x = 631,840.81
  5. Step 5: Solve for x
    x = 631,840.81/940.76
  6. Step 6: Final answer
    x = 671.62

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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.