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Finding the Fourth Proportional to 647.43, 971.19 and 214.89

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Solution

The fourth proportional to 647.43, 971.19 and 214.89 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.43 : 971.19 = 214.89 : x
  2. Step 2: Convert to fraction form
    647.43/971.19 = 214.89/x
  3. Step 3: Cross multiply
    647.43x = 971.19 × 214.89
  4. Step 4: Simplify right side
    647.43x = 208,699.02
  5. Step 5: Solve for x
    x = 208,699.02/647.43
  6. Step 6: Final answer
    x = 322.35

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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.