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Finding the Fourth Proportional to 714.44, 1,071.78 and 348.94

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Solution

The fourth proportional to 714.44, 1,071.78 and 348.94 is: 523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.44 : 1,071.78 = 348.94 : x
  2. Step 2: Convert to fraction form
    714.44/1,071.78 = 348.94/x
  3. Step 3: Cross multiply
    714.44x = 1,071.78 × 348.94
  4. Step 4: Simplify right side
    714.44x = 373,986.91
  5. Step 5: Solve for x
    x = 373,986.91/714.44
  6. Step 6: Final answer
    x = 523.47

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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.