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Finding the Fourth Proportional to 647.23, 970.86 and 214.39

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Solution

The fourth proportional to 647.23, 970.86 and 214.39 is: 321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.23 : 970.86 = 214.39 : x
  2. Step 2: Convert to fraction form
    647.23/970.86 = 214.39/x
  3. Step 3: Cross multiply
    647.23x = 970.86 × 214.39
  4. Step 4: Simplify right side
    647.23x = 208,142.68
  5. Step 5: Solve for x
    x = 208,142.68/647.23
  6. Step 6: Final answer
    x = 321.59

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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.