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Finding the Fourth Proportional to 1,236.23, 1,705.91 and 676.67

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Solution

The fourth proportional to 1,236.23, 1,705.91 and 676.67 is: 933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.23 : 1,705.91 = 676.67 : x
  2. Step 2: Convert to fraction form
    1,236.23/1,705.91 = 676.67/x
  3. Step 3: Cross multiply
    1,236.23x = 1,705.91 × 676.67
  4. Step 4: Simplify right side
    1,236.23x = 1,154,334.74
  5. Step 5: Solve for x
    x = 1,154,334.74/1,236.23
  6. Step 6: Final answer
    x = 933.75

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1.5x scale

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.