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Finding the Fourth Proportional to 589.08, 882.98 and 383.80

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Solution

The fourth proportional to 589.08, 882.98 and 383.80 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.08 : 882.98 = 383.80 : x
  2. Step 2: Convert to fraction form
    589.08/882.98 = 383.80/x
  3. Step 3: Cross multiply
    589.08x = 882.98 × 383.80
  4. Step 4: Simplify right side
    589.08x = 338,887.72
  5. Step 5: Solve for x
    x = 338,887.72/589.08
  6. Step 6: Final answer
    x = 575.28

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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.