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Finding the Fourth Proportional to 647.41, 971.16 and 208.71

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Solution

The fourth proportional to 647.41, 971.16 and 208.71 is: 313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.41 : 971.16 = 208.71 : x
  2. Step 2: Convert to fraction form
    647.41/971.16 = 208.71/x
  3. Step 3: Cross multiply
    647.41x = 971.16 × 208.71
  4. Step 4: Simplify right side
    647.41x = 202,690.80
  5. Step 5: Solve for x
    x = 202,690.80/647.41
  6. Step 6: Final answer
    x = 313.08

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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.