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Finding the Fourth Proportional to 940.04, 1,416.43 and 781.28

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Solution

The fourth proportional to 940.04, 1,416.43 and 781.28 is: 1,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.04 : 1,416.43 = 781.28 : x
  2. Step 2: Convert to fraction form
    940.04/1,416.43 = 781.28/x
  3. Step 3: Cross multiply
    940.04x = 1,416.43 × 781.28
  4. Step 4: Simplify right side
    940.04x = 1,106,628.43
  5. Step 5: Solve for x
    x = 1,106,628.43/940.04
  6. Step 6: Final answer
    x = 1,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.