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Finding the Fourth Proportional to 680.41, 931.93 and 640.51

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Solution

The fourth proportional to 680.41, 931.93 and 640.51 is: 877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.41 : 931.93 = 640.51 : x
  2. Step 2: Convert to fraction form
    680.41/931.93 = 640.51/x
  3. Step 3: Cross multiply
    680.41x = 931.93 × 640.51
  4. Step 4: Simplify right side
    680.41x = 596,910.48
  5. Step 5: Solve for x
    x = 596,910.48/680.41
  6. Step 6: Final answer
    x = 877.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.