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Finding the Fourth Proportional to 1,228.76, 1,841.27 and 643.91

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Solution

The fourth proportional to 1,228.76, 1,841.27 and 643.91 is: 964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.76 : 1,841.27 = 643.91 : x
  2. Step 2: Convert to fraction form
    1,228.76/1,841.27 = 643.91/x
  3. Step 3: Cross multiply
    1,228.76x = 1,841.27 × 643.91
  4. Step 4: Simplify right side
    1,228.76x = 1,185,599.74
  5. Step 5: Solve for x
    x = 1,185,599.74/1,228.76
  6. Step 6: Final answer
    x = 964.88

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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.