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Finding the Fourth Proportional to 647.81, 971.77 and 208.95

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Solution

The fourth proportional to 647.81, 971.77 and 208.95 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.81 : 971.77 = 208.95 : x
  2. Step 2: Convert to fraction form
    647.81/971.77 = 208.95/x
  3. Step 3: Cross multiply
    647.81x = 971.77 × 208.95
  4. Step 4: Simplify right side
    647.81x = 203,051.34
  5. Step 5: Solve for x
    x = 203,051.34/647.81
  6. Step 6: Final answer
    x = 313.44

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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.