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Finding the Fourth Proportional to 703.61, 1,055.42 and 270.77

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Solution

The fourth proportional to 703.61, 1,055.42 and 270.77 is: 406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.61 : 1,055.42 = 270.77 : x
  2. Step 2: Convert to fraction form
    703.61/1,055.42 = 270.77/x
  3. Step 3: Cross multiply
    703.61x = 1,055.42 × 270.77
  4. Step 4: Simplify right side
    703.61x = 285,769.44
  5. Step 5: Solve for x
    x = 285,769.44/703.61
  6. Step 6: Final answer
    x = 406.15

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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.