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Finding the Fourth Proportional to 1,654.50, 2,479.62 and 1,263.06

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Solution

The fourth proportional to 1,654.50, 2,479.62 and 1,263.06 is: 1,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.50 : 2,479.62 = 1,263.06 : x
  2. Step 2: Convert to fraction form
    1,654.50/2,479.62 = 1,263.06/x
  3. Step 3: Cross multiply
    1,654.50x = 2,479.62 × 1,263.06
  4. Step 4: Simplify right side
    1,654.50x = 3,131,908.84
  5. Step 5: Solve for x
    x = 3,131,908.84/1,654.50
  6. Step 6: Final answer
    x = 1,892.96

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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.