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Finding the Fourth Proportional to 588.83, 812.97 and 421.83

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Solution

The fourth proportional to 588.83, 812.97 and 421.83 is: 582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.83 : 812.97 = 421.83 : x
  2. Step 2: Convert to fraction form
    588.83/812.97 = 421.83/x
  3. Step 3: Cross multiply
    588.83x = 812.97 × 421.83
  4. Step 4: Simplify right side
    588.83x = 342,935.14
  5. Step 5: Solve for x
    x = 342,935.14/588.83
  6. Step 6: Final answer
    x = 582.41

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Double scale
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1.5x scale

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.