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Finding the Fourth Proportional to 714.42, 1,071.76 and 227.42

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Solution

The fourth proportional to 714.42, 1,071.76 and 227.42 is: 341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.76 = 227.42 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.76 = 227.42/x
  3. Step 3: Cross multiply
    714.42x = 1,071.76 × 227.42
  4. Step 4: Simplify right side
    714.42x = 243,739.66
  5. Step 5: Solve for x
    x = 243,739.66/714.42
  6. Step 6: Final answer
    x = 341.17

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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.