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Finding the Fourth Proportional to 647.33, 970.99 and 214.52

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Solution

The fourth proportional to 647.33, 970.99 and 214.52 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.33 : 970.99 = 214.52 : x
  2. Step 2: Convert to fraction form
    647.33/970.99 = 214.52/x
  3. Step 3: Cross multiply
    647.33x = 970.99 × 214.52
  4. Step 4: Simplify right side
    647.33x = 208,291.38
  5. Step 5: Solve for x
    x = 208,291.38/647.33
  6. Step 6: Final answer
    x = 321.77

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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.