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Finding the Fourth Proportional to 588.37, 812.42 and 477.67

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Solution

The fourth proportional to 588.37, 812.42 and 477.67 is: 659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 812.42 = 477.67 : x
  2. Step 2: Convert to fraction form
    588.37/812.42 = 477.67/x
  3. Step 3: Cross multiply
    588.37x = 812.42 × 477.67
  4. Step 4: Simplify right side
    588.37x = 388,066.27
  5. Step 5: Solve for x
    x = 388,066.27/588.37
  6. Step 6: Final answer
    x = 659.56

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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.