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Finding the Fourth Proportional to 648.69, 971.82 and 340.85

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Solution

The fourth proportional to 648.69, 971.82 and 340.85 is: 510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 971.82 = 340.85 : x
  2. Step 2: Convert to fraction form
    648.69/971.82 = 340.85/x
  3. Step 3: Cross multiply
    648.69x = 971.82 × 340.85
  4. Step 4: Simplify right side
    648.69x = 331,239.99
  5. Step 5: Solve for x
    x = 331,239.99/648.69
  6. Step 6: Final answer
    x = 510.63

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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.