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Finding the Fourth Proportional to 714.74, 1,072.71 and 571.37

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Solution

The fourth proportional to 714.74, 1,072.71 and 571.37 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.74 : 1,072.71 = 571.37 : x
  2. Step 2: Convert to fraction form
    714.74/1,072.71 = 571.37/x
  3. Step 3: Cross multiply
    714.74x = 1,072.71 × 571.37
  4. Step 4: Simplify right side
    714.74x = 612,908.95
  5. Step 5: Solve for x
    x = 612,908.95/714.74
  6. Step 6: Final answer
    x = 857.53

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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.