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Finding the Fourth Proportional to 647.58, 971.25 and 214.68

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Solution

The fourth proportional to 647.58, 971.25 and 214.68 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.58 : 971.25 = 214.68 : x
  2. Step 2: Convert to fraction form
    647.58/971.25 = 214.68/x
  3. Step 3: Cross multiply
    647.58x = 971.25 × 214.68
  4. Step 4: Simplify right side
    647.58x = 208,507.95
  5. Step 5: Solve for x
    x = 208,507.95/647.58
  6. Step 6: Final answer
    x = 321.98

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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.