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Finding the Fourth Proportional to 1,705.88, 2,558 and 666.36

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Solution

The fourth proportional to 1,705.88, 2,558 and 666.36 is: 999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.88 : 2,558 = 666.36 : x
  2. Step 2: Convert to fraction form
    1,705.88/2,558 = 666.36/x
  3. Step 3: Cross multiply
    1,705.88x = 2,558 × 666.36
  4. Step 4: Simplify right side
    1,705.88x = 1,704,548.88
  5. Step 5: Solve for x
    x = 1,704,548.88/1,705.88
  6. Step 6: Final answer
    x = 999.22

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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.