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Finding the Fourth Proportional to 701.96, 1,053.63 and 378.02

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Solution

The fourth proportional to 701.96, 1,053.63 and 378.02 is: 567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.96 : 1,053.63 = 378.02 : x
  2. Step 2: Convert to fraction form
    701.96/1,053.63 = 378.02/x
  3. Step 3: Cross multiply
    701.96x = 1,053.63 × 378.02
  4. Step 4: Simplify right side
    701.96x = 398,293.21
  5. Step 5: Solve for x
    x = 398,293.21/701.96
  6. Step 6: Final answer
    x = 567.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.