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Finding the Fourth Proportional to 489.50, 675.52 and 314.94

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Solution

The fourth proportional to 489.50, 675.52 and 314.94 is: 434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.50 : 675.52 = 314.94 : x
  2. Step 2: Convert to fraction form
    489.50/675.52 = 314.94/x
  3. Step 3: Cross multiply
    489.50x = 675.52 × 314.94
  4. Step 4: Simplify right side
    489.50x = 212,748.27
  5. Step 5: Solve for x
    x = 212,748.27/489.50
  6. Step 6: Final answer
    x = 434.62

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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.