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Finding the Fourth Proportional to 589.20, 888.21 and 549.56

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Solution

The fourth proportional to 589.20, 888.21 and 549.56 is: 828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.20 : 888.21 = 549.56 : x
  2. Step 2: Convert to fraction form
    589.20/888.21 = 549.56/x
  3. Step 3: Cross multiply
    589.20x = 888.21 × 549.56
  4. Step 4: Simplify right side
    589.20x = 488,120.25
  5. Step 5: Solve for x
    x = 488,120.25/589.20
  6. Step 6: Final answer
    x = 828.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.