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Finding the Fourth Proportional to 589.19, 882.72 and 415.58

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Solution

The fourth proportional to 589.19, 882.72 and 415.58 is: 622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.19 : 882.72 = 415.58 : x
  2. Step 2: Convert to fraction form
    589.19/882.72 = 415.58/x
  3. Step 3: Cross multiply
    589.19x = 882.72 × 415.58
  4. Step 4: Simplify right side
    589.19x = 366,836.36
  5. Step 5: Solve for x
    x = 366,836.36/589.19
  6. Step 6: Final answer
    x = 622.62

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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.