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Finding the Fourth Proportional to 700.98, 967.34 and 406.30

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Solution

The fourth proportional to 700.98, 967.34 and 406.30 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.98 : 967.34 = 406.30 : x
  2. Step 2: Convert to fraction form
    700.98/967.34 = 406.30/x
  3. Step 3: Cross multiply
    700.98x = 967.34 × 406.30
  4. Step 4: Simplify right side
    700.98x = 393,028.84
  5. Step 5: Solve for x
    x = 393,028.84/700.98
  6. Step 6: Final answer
    x = 560.68

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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.