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Finding the Fourth Proportional to 929.69, 1,391.82 and 489.89

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Solution

The fourth proportional to 929.69, 1,391.82 and 489.89 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.69 : 1,391.82 = 489.89 : x
  2. Step 2: Convert to fraction form
    929.69/1,391.82 = 489.89/x
  3. Step 3: Cross multiply
    929.69x = 1,391.82 × 489.89
  4. Step 4: Simplify right side
    929.69x = 681,838.70
  5. Step 5: Solve for x
    x = 681,838.70/929.69
  6. Step 6: Final answer
    x = 733.40

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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.