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Finding the Fourth Proportional to 558.44, 835.88 and 314.24

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Solution

The fourth proportional to 558.44, 835.88 and 314.24 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.44 : 835.88 = 314.24 : x
  2. Step 2: Convert to fraction form
    558.44/835.88 = 314.24/x
  3. Step 3: Cross multiply
    558.44x = 835.88 × 314.24
  4. Step 4: Simplify right side
    558.44x = 262,666.93
  5. Step 5: Solve for x
    x = 262,666.93/558.44
  6. Step 6: Final answer
    x = 470.36

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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.