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Finding the Fourth Proportional to 714.65, 1,072.31 and 349.23

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Solution

The fourth proportional to 714.65, 1,072.31 and 349.23 is: 524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.65 : 1,072.31 = 349.23 : x
  2. Step 2: Convert to fraction form
    714.65/1,072.31 = 349.23/x
  3. Step 3: Cross multiply
    714.65x = 1,072.31 × 349.23
  4. Step 4: Simplify right side
    714.65x = 374,481.08
  5. Step 5: Solve for x
    x = 374,481.08/714.65
  6. Step 6: Final answer
    x = 524.01

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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.