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Finding the Fourth Proportional to 1,482.63, 2,221.50 and 866.85

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Solution

The fourth proportional to 1,482.63, 2,221.50 and 866.85 is: 1,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.63 : 2,221.50 = 866.85 : x
  2. Step 2: Convert to fraction form
    1,482.63/2,221.50 = 866.85/x
  3. Step 3: Cross multiply
    1,482.63x = 2,221.50 × 866.85
  4. Step 4: Simplify right side
    1,482.63x = 1,925,707.28
  5. Step 5: Solve for x
    x = 1,925,707.28/1,482.63
  6. Step 6: Final answer
    x = 1,298.85

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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.