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Finding the Fourth Proportional to 714.41, 1,071.55 and 281.57

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Solution

The fourth proportional to 714.41, 1,071.55 and 281.57 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.41 : 1,071.55 = 281.57 : x
  2. Step 2: Convert to fraction form
    714.41/1,071.55 = 281.57/x
  3. Step 3: Cross multiply
    714.41x = 1,071.55 × 281.57
  4. Step 4: Simplify right side
    714.41x = 301,709.57
  5. Step 5: Solve for x
    x = 301,709.57/714.41
  6. Step 6: Final answer
    x = 422.32

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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.