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Finding the Fourth Proportional to 508.20, 704.93 and 471.72

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Solution

The fourth proportional to 508.20, 704.93 and 471.72 is: 654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 704.93 = 471.72 : x
  2. Step 2: Convert to fraction form
    508.20/704.93 = 471.72/x
  3. Step 3: Cross multiply
    508.20x = 704.93 × 471.72
  4. Step 4: Simplify right side
    508.20x = 332,527.22
  5. Step 5: Solve for x
    x = 332,527.22/508.20
  6. Step 6: Final answer
    x = 654.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.