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Finding the Fourth Proportional to 559.24, 769.86 and 460.84

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Solution

The fourth proportional to 559.24, 769.86 and 460.84 is: 634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.24 : 769.86 = 460.84 : x
  2. Step 2: Convert to fraction form
    559.24/769.86 = 460.84/x
  3. Step 3: Cross multiply
    559.24x = 769.86 × 460.84
  4. Step 4: Simplify right side
    559.24x = 354,782.28
  5. Step 5: Solve for x
    x = 354,782.28/559.24
  6. Step 6: Final answer
    x = 634.40

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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.