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Finding the Fourth Proportional to 701.47, 968.02 and 406.81

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Solution

The fourth proportional to 701.47, 968.02 and 406.81 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.47 : 968.02 = 406.81 : x
  2. Step 2: Convert to fraction form
    701.47/968.02 = 406.81/x
  3. Step 3: Cross multiply
    701.47x = 968.02 × 406.81
  4. Step 4: Simplify right side
    701.47x = 393,800.22
  5. Step 5: Solve for x
    x = 393,800.22/701.47
  6. Step 6: Final answer
    x = 561.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.