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Finding the Fourth Proportional to 590.99, 815.59 and 329.00

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Solution

The fourth proportional to 590.99, 815.59 and 329.00 is: 454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.99 : 815.59 = 329.00 : x
  2. Step 2: Convert to fraction form
    590.99/815.59 = 329.00/x
  3. Step 3: Cross multiply
    590.99x = 815.59 × 329.00
  4. Step 4: Simplify right side
    590.99x = 268,328.18
  5. Step 5: Solve for x
    x = 268,328.18/590.99
  6. Step 6: Final answer
    x = 454.04

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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.