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Finding the Fourth Proportional to 617.37, 851.34 and 430.79

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Solution

The fourth proportional to 617.37, 851.34 and 430.79 is: 594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 851.34 = 430.79 : x
  2. Step 2: Convert to fraction form
    617.37/851.34 = 430.79/x
  3. Step 3: Cross multiply
    617.37x = 851.34 × 430.79
  4. Step 4: Simplify right side
    617.37x = 366,749.67
  5. Step 5: Solve for x
    x = 366,749.67/617.37
  6. Step 6: Final answer
    x = 594.05

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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.