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Finding the Fourth Proportional to 489.78, 733.26 and 374.67

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Solution

The fourth proportional to 489.78, 733.26 and 374.67 is: 560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 733.26 = 374.67 : x
  2. Step 2: Convert to fraction form
    489.78/733.26 = 374.67/x
  3. Step 3: Cross multiply
    489.78x = 733.26 × 374.67
  4. Step 4: Simplify right side
    489.78x = 274,730.52
  5. Step 5: Solve for x
    x = 274,730.52/489.78
  6. Step 6: Final answer
    x = 560.93

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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.