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Finding the Fourth Proportional to 590.92, 884.58 and 385.05

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Solution

The fourth proportional to 590.92, 884.58 and 385.05 is: 576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 884.58 = 385.05 : x
  2. Step 2: Convert to fraction form
    590.92/884.58 = 385.05/x
  3. Step 3: Cross multiply
    590.92x = 884.58 × 385.05
  4. Step 4: Simplify right side
    590.92x = 340,607.53
  5. Step 5: Solve for x
    x = 340,607.53/590.92
  6. Step 6: Final answer
    x = 576.40

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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.