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Finding the Fourth Proportional to 703.25, 1,053.95 and 378.23

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Solution

The fourth proportional to 703.25, 1,053.95 and 378.23 is: 566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.25 : 1,053.95 = 378.23 : x
  2. Step 2: Convert to fraction form
    703.25/1,053.95 = 378.23/x
  3. Step 3: Cross multiply
    703.25x = 1,053.95 × 378.23
  4. Step 4: Simplify right side
    703.25x = 398,635.51
  5. Step 5: Solve for x
    x = 398,635.51/703.25
  6. Step 6: Final answer
    x = 566.85

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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.