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Finding the Fourth Proportional to 648.14, 889.68 and 589.82

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Solution

The fourth proportional to 648.14, 889.68 and 589.82 is: 809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.14 : 889.68 = 589.82 : x
  2. Step 2: Convert to fraction form
    648.14/889.68 = 589.82/x
  3. Step 3: Cross multiply
    648.14x = 889.68 × 589.82
  4. Step 4: Simplify right side
    648.14x = 524,751.06
  5. Step 5: Solve for x
    x = 524,751.06/648.14
  6. Step 6: Final answer
    x = 809.63

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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.