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Finding the Fourth Proportional to 703.55, 1,055.13 and 209.85

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Solution

The fourth proportional to 703.55, 1,055.13 and 209.85 is: 314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.55 : 1,055.13 = 209.85 : x
  2. Step 2: Convert to fraction form
    703.55/1,055.13 = 209.85/x
  3. Step 3: Cross multiply
    703.55x = 1,055.13 × 209.85
  4. Step 4: Simplify right side
    703.55x = 221,419.03
  5. Step 5: Solve for x
    x = 221,419.03/703.55
  6. Step 6: Final answer
    x = 314.72

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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.