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Finding the Fourth Proportional to 701.86, 968.54 and 407.12

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Solution

The fourth proportional to 701.86, 968.54 and 407.12 is: 561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.86 : 968.54 = 407.12 : x
  2. Step 2: Convert to fraction form
    701.86/968.54 = 407.12/x
  3. Step 3: Cross multiply
    701.86x = 968.54 × 407.12
  4. Step 4: Simplify right side
    701.86x = 394,312.00
  5. Step 5: Solve for x
    x = 394,312.00/701.86
  6. Step 6: Final answer
    x = 561.81

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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.