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Finding the Fourth Proportional to 1,386.20, 2,077.72 and 866.44

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Solution

The fourth proportional to 1,386.20, 2,077.72 and 866.44 is: 1,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.20 : 2,077.72 = 866.44 : x
  2. Step 2: Convert to fraction form
    1,386.20/2,077.72 = 866.44/x
  3. Step 3: Cross multiply
    1,386.20x = 2,077.72 × 866.44
  4. Step 4: Simplify right side
    1,386.20x = 1,800,219.72
  5. Step 5: Solve for x
    x = 1,800,219.72/1,386.20
  6. Step 6: Final answer
    x = 1,298.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.