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Finding the Fourth Proportional to 685.26, 1,021.95 and 648.81

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Solution

The fourth proportional to 685.26, 1,021.95 and 648.81 is: 967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,021.95 = 648.81 : x
  2. Step 2: Convert to fraction form
    685.26/1,021.95 = 648.81/x
  3. Step 3: Cross multiply
    685.26x = 1,021.95 × 648.81
  4. Step 4: Simplify right side
    685.26x = 663,051.38
  5. Step 5: Solve for x
    x = 663,051.38/685.26
  6. Step 6: Final answer
    x = 967.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.