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Finding the Fourth Proportional to 589.07, 881.78 and 459.45

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Solution

The fourth proportional to 589.07, 881.78 and 459.45 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.07 : 881.78 = 459.45 : x
  2. Step 2: Convert to fraction form
    589.07/881.78 = 459.45/x
  3. Step 3: Cross multiply
    589.07x = 881.78 × 459.45
  4. Step 4: Simplify right side
    589.07x = 405,131.52
  5. Step 5: Solve for x
    x = 405,131.52/589.07
  6. Step 6: Final answer
    x = 687.74

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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.