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Finding the Fourth Proportional to 590, 883.20 and 384.80

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Solution

The fourth proportional to 590, 883.20 and 384.80 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 883.20 = 384.80 : x
  2. Step 2: Convert to fraction form
    590/883.20 = 384.80/x
  3. Step 3: Cross multiply
    590x = 883.20 × 384.80
  4. Step 4: Simplify right side
    590x = 339,855.36
  5. Step 5: Solve for x
    x = 339,855.36/590
  6. Step 6: Final answer
    x = 576.03

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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.