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Finding the Fourth Proportional to 590, 884.61 and 281.90

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Solution

The fourth proportional to 590, 884.61 and 281.90 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 884.61 = 281.90 : x
  2. Step 2: Convert to fraction form
    590/884.61 = 281.90/x
  3. Step 3: Cross multiply
    590x = 884.61 × 281.90
  4. Step 4: Simplify right side
    590x = 249,371.56
  5. Step 5: Solve for x
    x = 249,371.56/590
  6. Step 6: Final answer
    x = 422.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.