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Finding the Fourth Proportional to 606.56, 838.15 and 431.60

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Solution

The fourth proportional to 606.56, 838.15 and 431.60 is: 596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.56 : 838.15 = 431.60 : x
  2. Step 2: Convert to fraction form
    606.56/838.15 = 431.60/x
  3. Step 3: Cross multiply
    606.56x = 838.15 × 431.60
  4. Step 4: Simplify right side
    606.56x = 361,740.27
  5. Step 5: Solve for x
    x = 361,740.27/606.56
  6. Step 6: Final answer
    x = 596.38

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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.