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Finding the Fourth Proportional to 706.94, 975.36 and 412.15

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Solution

The fourth proportional to 706.94, 975.36 and 412.15 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.94 : 975.36 = 412.15 : x
  2. Step 2: Convert to fraction form
    706.94/975.36 = 412.15/x
  3. Step 3: Cross multiply
    706.94x = 975.36 × 412.15
  4. Step 4: Simplify right side
    706.94x = 401,994.62
  5. Step 5: Solve for x
    x = 401,994.62/706.94
  6. Step 6: Final answer
    x = 568.64

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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.