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Finding the Fourth Proportional to 489.94, 675.93 and 315.34

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Solution

The fourth proportional to 489.94, 675.93 and 315.34 is: 435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.94 : 675.93 = 315.34 : x
  2. Step 2: Convert to fraction form
    489.94/675.93 = 315.34/x
  3. Step 3: Cross multiply
    489.94x = 675.93 × 315.34
  4. Step 4: Simplify right side
    489.94x = 213,147.77
  5. Step 5: Solve for x
    x = 213,147.77/489.94
  6. Step 6: Final answer
    x = 435.05

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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.