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Finding the Fourth Proportional to 590.36, 885.90 and 543.56

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Solution

The fourth proportional to 590.36, 885.90 and 543.56 is: 815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.36 : 885.90 = 543.56 : x
  2. Step 2: Convert to fraction form
    590.36/885.90 = 543.56/x
  3. Step 3: Cross multiply
    590.36x = 885.90 × 543.56
  4. Step 4: Simplify right side
    590.36x = 481,539.80
  5. Step 5: Solve for x
    x = 481,539.80/590.36
  6. Step 6: Final answer
    x = 815.67

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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.