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Finding the Fourth Proportional to 1,490.78, 2,234.28 and 841.88

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Solution

The fourth proportional to 1,490.78, 2,234.28 and 841.88 is: 1,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.78 : 2,234.28 = 841.88 : x
  2. Step 2: Convert to fraction form
    1,490.78/2,234.28 = 841.88/x
  3. Step 3: Cross multiply
    1,490.78x = 2,234.28 × 841.88
  4. Step 4: Simplify right side
    1,490.78x = 1,880,995.65
  5. Step 5: Solve for x
    x = 1,880,995.65/1,490.78
  6. Step 6: Final answer
    x = 1,261.75

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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.