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Finding the Fourth Proportional to 559.89, 836.06 and 457.37

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Solution

The fourth proportional to 559.89, 836.06 and 457.37 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.89 : 836.06 = 457.37 : x
  2. Step 2: Convert to fraction form
    559.89/836.06 = 457.37/x
  3. Step 3: Cross multiply
    559.89x = 836.06 × 457.37
  4. Step 4: Simplify right side
    559.89x = 382,388.76
  5. Step 5: Solve for x
    x = 382,388.76/559.89
  6. Step 6: Final answer
    x = 682.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.