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Finding the Fourth Proportional to 1,367.67, 1,887.38 and 746.67

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Solution

The fourth proportional to 1,367.67, 1,887.38 and 746.67 is: 1,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.67 : 1,887.38 = 746.67 : x
  2. Step 2: Convert to fraction form
    1,367.67/1,887.38 = 746.67/x
  3. Step 3: Cross multiply
    1,367.67x = 1,887.38 × 746.67
  4. Step 4: Simplify right side
    1,367.67x = 1,409,250.02
  5. Step 5: Solve for x
    x = 1,409,250.02/1,367.67
  6. Step 6: Final answer
    x = 1,030.40

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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.