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Finding the Fourth Proportional to 706.11, 973.60 and 489.99

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Solution

The fourth proportional to 706.11, 973.60 and 489.99 is: 675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.11 : 973.60 = 489.99 : x
  2. Step 2: Convert to fraction form
    706.11/973.60 = 489.99/x
  3. Step 3: Cross multiply
    706.11x = 973.60 × 489.99
  4. Step 4: Simplify right side
    706.11x = 477,054.26
  5. Step 5: Solve for x
    x = 477,054.26/706.11
  6. Step 6: Final answer
    x = 675.61

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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.