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Finding the Fourth Proportional to 589.28, 882.71 and 459.14

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Solution

The fourth proportional to 589.28, 882.71 and 459.14 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.28 : 882.71 = 459.14 : x
  2. Step 2: Convert to fraction form
    589.28/882.71 = 459.14/x
  3. Step 3: Cross multiply
    589.28x = 882.71 × 459.14
  4. Step 4: Simplify right side
    589.28x = 405,285.17
  5. Step 5: Solve for x
    x = 405,285.17/589.28
  6. Step 6: Final answer
    x = 687.76

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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.