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Finding the Fourth Proportional to 588.54, 812.19 and 322.99

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Solution

The fourth proportional to 588.54, 812.19 and 322.99 is: 445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.54 : 812.19 = 322.99 : x
  2. Step 2: Convert to fraction form
    588.54/812.19 = 322.99/x
  3. Step 3: Cross multiply
    588.54x = 812.19 × 322.99
  4. Step 4: Simplify right side
    588.54x = 262,329.25
  5. Step 5: Solve for x
    x = 262,329.25/588.54
  6. Step 6: Final answer
    x = 445.73

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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.