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Finding the Fourth Proportional to 590.88, 816.54 and 443.26

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Solution

The fourth proportional to 590.88, 816.54 and 443.26 is: 612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 816.54 = 443.26 : x
  2. Step 2: Convert to fraction form
    590.88/816.54 = 443.26/x
  3. Step 3: Cross multiply
    590.88x = 816.54 × 443.26
  4. Step 4: Simplify right side
    590.88x = 361,939.52
  5. Step 5: Solve for x
    x = 361,939.52/590.88
  6. Step 6: Final answer
    x = 612.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.