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Finding the Fourth Proportional to 647.31, 970.80 and 185.09

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Solution

The fourth proportional to 647.31, 970.80 and 185.09 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.31 : 970.80 = 185.09 : x
  2. Step 2: Convert to fraction form
    647.31/970.80 = 185.09/x
  3. Step 3: Cross multiply
    647.31x = 970.80 × 185.09
  4. Step 4: Simplify right side
    647.31x = 179,685.37
  5. Step 5: Solve for x
    x = 179,685.37/647.31
  6. Step 6: Final answer
    x = 277.59

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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.