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Finding the Fourth Proportional to 714.22, 1,070.41 and 303.25

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Solution

The fourth proportional to 714.22, 1,070.41 and 303.25 is: 454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.22 : 1,070.41 = 303.25 : x
  2. Step 2: Convert to fraction form
    714.22/1,070.41 = 303.25/x
  3. Step 3: Cross multiply
    714.22x = 1,070.41 × 303.25
  4. Step 4: Simplify right side
    714.22x = 324,601.83
  5. Step 5: Solve for x
    x = 324,601.83/714.22
  6. Step 6: Final answer
    x = 454.48

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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.