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Finding the Fourth Proportional to 707.29, 975.62 and 441.95

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Solution

The fourth proportional to 707.29, 975.62 and 441.95 is: 609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.29 : 975.62 = 441.95 : x
  2. Step 2: Convert to fraction form
    707.29/975.62 = 441.95/x
  3. Step 3: Cross multiply
    707.29x = 975.62 × 441.95
  4. Step 4: Simplify right side
    707.29x = 431,171.49
  5. Step 5: Solve for x
    x = 431,171.49/707.29
  6. Step 6: Final answer
    x = 609.61

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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.