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Finding the Fourth Proportional to 1,214.88, 1,819.68 and 889.50

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Solution

The fourth proportional to 1,214.88, 1,819.68 and 889.50 is: 1,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.88 : 1,819.68 = 889.50 : x
  2. Step 2: Convert to fraction form
    1,214.88/1,819.68 = 889.50/x
  3. Step 3: Cross multiply
    1,214.88x = 1,819.68 × 889.50
  4. Step 4: Simplify right side
    1,214.88x = 1,618,605.36
  5. Step 5: Solve for x
    x = 1,618,605.36/1,214.88
  6. Step 6: Final answer
    x = 1,332.32

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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.