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Finding the Fourth Proportional to 1,357.95, 1,874.14 and 768.48

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Solution

The fourth proportional to 1,357.95, 1,874.14 and 768.48 is: 1,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.95 : 1,874.14 = 768.48 : x
  2. Step 2: Convert to fraction form
    1,357.95/1,874.14 = 768.48/x
  3. Step 3: Cross multiply
    1,357.95x = 1,874.14 × 768.48
  4. Step 4: Simplify right side
    1,357.95x = 1,440,245.02
  5. Step 5: Solve for x
    x = 1,440,245.02/1,357.95
  6. Step 6: Final answer
    x = 1,060.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.