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Finding the Fourth Proportional to 589.44, 882.72 and 508.80

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Solution

The fourth proportional to 589.44, 882.72 and 508.80 is: 761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.44 : 882.72 = 508.80 : x
  2. Step 2: Convert to fraction form
    589.44/882.72 = 508.80/x
  3. Step 3: Cross multiply
    589.44x = 882.72 × 508.80
  4. Step 4: Simplify right side
    589.44x = 449,127.94
  5. Step 5: Solve for x
    x = 449,127.94/589.44
  6. Step 6: Final answer
    x = 761.96

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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.