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Finding the Fourth Proportional to 701.80, 968.50 and 407.14

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Solution

The fourth proportional to 701.80, 968.50 and 407.14 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.80 : 968.50 = 407.14 : x
  2. Step 2: Convert to fraction form
    701.80/968.50 = 407.14/x
  3. Step 3: Cross multiply
    701.80x = 968.50 × 407.14
  4. Step 4: Simplify right side
    701.80x = 394,315.09
  5. Step 5: Solve for x
    x = 394,315.09/701.80
  6. Step 6: Final answer
    x = 561.86

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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.