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Finding the Fourth Proportional to 849.38, 1,267.95 and 740

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Solution

The fourth proportional to 849.38, 1,267.95 and 740 is: 1,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.38 : 1,267.95 = 740 : x
  2. Step 2: Convert to fraction form
    849.38/1,267.95 = 740/x
  3. Step 3: Cross multiply
    849.38x = 1,267.95 × 740
  4. Step 4: Simplify right side
    849.38x = 938,283
  5. Step 5: Solve for x
    x = 938,283/849.38
  6. Step 6: Final answer
    x = 1,104.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.