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Finding the Fourth Proportional to 1.23, 1.69 and 0.77

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Solution

The fourth proportional to 1.23, 1.69 and 0.77 is: 1.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.23 : 1.69 = 0.77 : x
  2. Step 2: Convert to fraction form
    1.23/1.69 = 0.77/x
  3. Step 3: Cross multiply
    1.23x = 1.69 × 0.77
  4. Step 4: Simplify right side
    1.23x = 1.31
  5. Step 5: Solve for x
    x = 1.31/1.23
  6. Step 6: Final answer
    x = 1.06

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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.