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Finding the Fourth Proportional to 1,457.28, 2,187 and 808.56

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Solution

The fourth proportional to 1,457.28, 2,187 and 808.56 is: 1,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.28 : 2,187 = 808.56 : x
  2. Step 2: Convert to fraction form
    1,457.28/2,187 = 808.56/x
  3. Step 3: Cross multiply
    1,457.28x = 2,187 × 808.56
  4. Step 4: Simplify right side
    1,457.28x = 1,768,320.72
  5. Step 5: Solve for x
    x = 1,768,320.72/1,457.28
  6. Step 6: Final answer
    x = 1,213.44

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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.