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Finding the Fourth Proportional to 703.69, 1,055.60 and 216.79

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Solution

The fourth proportional to 703.69, 1,055.60 and 216.79 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,055.60 = 216.79 : x
  2. Step 2: Convert to fraction form
    703.69/1,055.60 = 216.79/x
  3. Step 3: Cross multiply
    703.69x = 1,055.60 × 216.79
  4. Step 4: Simplify right side
    703.69x = 228,843.52
  5. Step 5: Solve for x
    x = 228,843.52/703.69
  6. Step 6: Final answer
    x = 325.21

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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.