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Finding the Fourth Proportional to 940.76, 1,408.53 and 708.94

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Solution

The fourth proportional to 940.76, 1,408.53 and 708.94 is: 1,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,408.53 = 708.94 : x
  2. Step 2: Convert to fraction form
    940.76/1,408.53 = 708.94/x
  3. Step 3: Cross multiply
    940.76x = 1,408.53 × 708.94
  4. Step 4: Simplify right side
    940.76x = 998,566.65
  5. Step 5: Solve for x
    x = 998,566.65/940.76
  6. Step 6: Final answer
    x = 1,061.45

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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.