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Finding the Fourth Proportional to 1,214.80, 1,817.88 and 699.28

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Solution

The fourth proportional to 1,214.80, 1,817.88 and 699.28 is: 1,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.80 : 1,817.88 = 699.28 : x
  2. Step 2: Convert to fraction form
    1,214.80/1,817.88 = 699.28/x
  3. Step 3: Cross multiply
    1,214.80x = 1,817.88 × 699.28
  4. Step 4: Simplify right side
    1,214.80x = 1,271,207.13
  5. Step 5: Solve for x
    x = 1,271,207.13/1,214.80
  6. Step 6: Final answer
    x = 1,046.43

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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.