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Finding the Fourth Proportional to 538.59, 812.06 and 431.67

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Solution

The fourth proportional to 538.59, 812.06 and 431.67 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.59 : 812.06 = 431.67 : x
  2. Step 2: Convert to fraction form
    538.59/812.06 = 431.67/x
  3. Step 3: Cross multiply
    538.59x = 812.06 × 431.67
  4. Step 4: Simplify right side
    538.59x = 350,539.78
  5. Step 5: Solve for x
    x = 350,539.78/538.59
  6. Step 6: Final answer
    x = 650.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.