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Finding the Fourth Proportional to 647.43, 971.55 and 339.09

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Solution

The fourth proportional to 647.43, 971.55 and 339.09 is: 508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.43 : 971.55 = 339.09 : x
  2. Step 2: Convert to fraction form
    647.43/971.55 = 339.09/x
  3. Step 3: Cross multiply
    647.43x = 971.55 × 339.09
  4. Step 4: Simplify right side
    647.43x = 329,442.89
  5. Step 5: Solve for x
    x = 329,442.89/647.43
  6. Step 6: Final answer
    x = 508.85

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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.