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Finding the Fourth Proportional to 559.83, 773.31 and 430.45

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Solution

The fourth proportional to 559.83, 773.31 and 430.45 is: 594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.83 : 773.31 = 430.45 : x
  2. Step 2: Convert to fraction form
    559.83/773.31 = 430.45/x
  3. Step 3: Cross multiply
    559.83x = 773.31 × 430.45
  4. Step 4: Simplify right side
    559.83x = 332,871.29
  5. Step 5: Solve for x
    x = 332,871.29/559.83
  6. Step 6: Final answer
    x = 594.59

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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.