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Finding the Fourth Proportional to 589.45, 888.59 and 549.81

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Solution

The fourth proportional to 589.45, 888.59 and 549.81 is: 828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.45 : 888.59 = 549.81 : x
  2. Step 2: Convert to fraction form
    589.45/888.59 = 549.81/x
  3. Step 3: Cross multiply
    589.45x = 888.59 × 549.81
  4. Step 4: Simplify right side
    589.45x = 488,549.85
  5. Step 5: Solve for x
    x = 488,549.85/589.45
  6. Step 6: Final answer
    x = 828.82

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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.