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Finding the Fourth Proportional to 714.89, 1,072.44 and 281.93

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Solution

The fourth proportional to 714.89, 1,072.44 and 281.93 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.89 : 1,072.44 = 281.93 : x
  2. Step 2: Convert to fraction form
    714.89/1,072.44 = 281.93/x
  3. Step 3: Cross multiply
    714.89x = 1,072.44 × 281.93
  4. Step 4: Simplify right side
    714.89x = 302,353.01
  5. Step 5: Solve for x
    x = 302,353.01/714.89
  6. Step 6: Final answer
    x = 422.94

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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.