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Finding the Fourth Proportional to 700.98, 967.53 and 406.21

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Solution

The fourth proportional to 700.98, 967.53 and 406.21 is: 560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.98 : 967.53 = 406.21 : x
  2. Step 2: Convert to fraction form
    700.98/967.53 = 406.21/x
  3. Step 3: Cross multiply
    700.98x = 967.53 × 406.21
  4. Step 4: Simplify right side
    700.98x = 393,020.36
  5. Step 5: Solve for x
    x = 393,020.36/700.98
  6. Step 6: Final answer
    x = 560.67

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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.