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Finding the Fourth Proportional to 559.54, 838.61 and 316.21

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Solution

The fourth proportional to 559.54, 838.61 and 316.21 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 838.61 = 316.21 : x
  2. Step 2: Convert to fraction form
    559.54/838.61 = 316.21/x
  3. Step 3: Cross multiply
    559.54x = 838.61 × 316.21
  4. Step 4: Simplify right side
    559.54x = 265,171.09
  5. Step 5: Solve for x
    x = 265,171.09/559.54
  6. Step 6: Final answer
    x = 473.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.