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Finding the Fourth Proportional to 707.82, 975.94 and 491.68

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Solution

The fourth proportional to 707.82, 975.94 and 491.68 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.82 : 975.94 = 491.68 : x
  2. Step 2: Convert to fraction form
    707.82/975.94 = 491.68/x
  3. Step 3: Cross multiply
    707.82x = 975.94 × 491.68
  4. Step 4: Simplify right side
    707.82x = 479,850.18
  5. Step 5: Solve for x
    x = 479,850.18/707.82
  6. Step 6: Final answer
    x = 677.93

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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.