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Finding the Fourth Proportional to 589.80, 883.52 and 281.94

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Solution

The fourth proportional to 589.80, 883.52 and 281.94 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 883.52 = 281.94 : x
  2. Step 2: Convert to fraction form
    589.80/883.52 = 281.94/x
  3. Step 3: Cross multiply
    589.80x = 883.52 × 281.94
  4. Step 4: Simplify right side
    589.80x = 249,099.63
  5. Step 5: Solve for x
    x = 249,099.63/589.80
  6. Step 6: Final answer
    x = 422.35

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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.