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Finding the Fourth Proportional to 701.78, 968.45 and 387.02

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Solution

The fourth proportional to 701.78, 968.45 and 387.02 is: 534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.78 : 968.45 = 387.02 : x
  2. Step 2: Convert to fraction form
    701.78/968.45 = 387.02/x
  3. Step 3: Cross multiply
    701.78x = 968.45 × 387.02
  4. Step 4: Simplify right side
    701.78x = 374,810.01
  5. Step 5: Solve for x
    x = 374,810.01/701.78
  6. Step 6: Final answer
    x = 534.09

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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.