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Finding the Fourth Proportional to 0.75, 1.11 and 0.74

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Solution

The fourth proportional to 0.75, 1.11 and 0.74 is: 1.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.75 : 1.11 = 0.74 : x
  2. Step 2: Convert to fraction form
    0.75/1.11 = 0.74/x
  3. Step 3: Cross multiply
    0.75x = 1.11 × 0.74
  4. Step 4: Simplify right side
    0.75x = 0.82
  5. Step 5: Solve for x
    x = 0.82/0.75
  6. Step 6: Final answer
    x = 1.10

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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.