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Finding the Fourth Proportional to 1,571.46, 2,357.11 and 842.46

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Solution

The fourth proportional to 1,571.46, 2,357.11 and 842.46 is: 1,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.46 : 2,357.11 = 842.46 : x
  2. Step 2: Convert to fraction form
    1,571.46/2,357.11 = 842.46/x
  3. Step 3: Cross multiply
    1,571.46x = 2,357.11 × 842.46
  4. Step 4: Simplify right side
    1,571.46x = 1,985,770.89
  5. Step 5: Solve for x
    x = 1,985,770.89/1,571.46
  6. Step 6: Final answer
    x = 1,263.65

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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.