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Finding the Fourth Proportional to 589.52, 882.44 and 405.84

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Solution

The fourth proportional to 589.52, 882.44 and 405.84 is: 607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.52 : 882.44 = 405.84 : x
  2. Step 2: Convert to fraction form
    589.52/882.44 = 405.84/x
  3. Step 3: Cross multiply
    589.52x = 882.44 × 405.84
  4. Step 4: Simplify right side
    589.52x = 358,129.45
  5. Step 5: Solve for x
    x = 358,129.45/589.52
  6. Step 6: Final answer
    x = 607.49

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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.