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Finding the Fourth Proportional to 1,360.22, 1,876.76 and 862.67

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Solution

The fourth proportional to 1,360.22, 1,876.76 and 862.67 is: 1,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.22 : 1,876.76 = 862.67 : x
  2. Step 2: Convert to fraction form
    1,360.22/1,876.76 = 862.67/x
  3. Step 3: Cross multiply
    1,360.22x = 1,876.76 × 862.67
  4. Step 4: Simplify right side
    1,360.22x = 1,619,020.24
  5. Step 5: Solve for x
    x = 1,619,020.24/1,360.22
  6. Step 6: Final answer
    x = 1,190.27

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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.