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Finding the Fourth Proportional to 1,071.36, 1,606.64 and 659.25

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Solution

The fourth proportional to 1,071.36, 1,606.64 and 659.25 is: 988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.36 : 1,606.64 = 659.25 : x
  2. Step 2: Convert to fraction form
    1,071.36/1,606.64 = 659.25/x
  3. Step 3: Cross multiply
    1,071.36x = 1,606.64 × 659.25
  4. Step 4: Simplify right side
    1,071.36x = 1,059,179.07
  5. Step 5: Solve for x
    x = 1,059,179.07/1,071.36
  6. Step 6: Final answer
    x = 988.63

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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.