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Finding the Fourth Proportional to 701.90, 968.51 and 407.12

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Solution

The fourth proportional to 701.90, 968.51 and 407.12 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.90 : 968.51 = 407.12 : x
  2. Step 2: Convert to fraction form
    701.90/968.51 = 407.12/x
  3. Step 3: Cross multiply
    701.90x = 968.51 × 407.12
  4. Step 4: Simplify right side
    701.90x = 394,292.91
  5. Step 5: Solve for x
    x = 394,292.91/701.90
  6. Step 6: Final answer
    x = 561.75

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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.