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Finding the Fourth Proportional to 707.05, 975.86 and 441.61

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Solution

The fourth proportional to 707.05, 975.86 and 441.61 is: 609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.05 : 975.86 = 441.61 : x
  2. Step 2: Convert to fraction form
    707.05/975.86 = 441.61/x
  3. Step 3: Cross multiply
    707.05x = 975.86 × 441.61
  4. Step 4: Simplify right side
    707.05x = 430,949.53
  5. Step 5: Solve for x
    x = 430,949.53/707.05
  6. Step 6: Final answer
    x = 609.50

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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.