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Finding the Fourth Proportional to 701.19, 967.58 and 406.40

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Solution

The fourth proportional to 701.19, 967.58 and 406.40 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.19 : 967.58 = 406.40 : x
  2. Step 2: Convert to fraction form
    701.19/967.58 = 406.40/x
  3. Step 3: Cross multiply
    701.19x = 967.58 × 406.40
  4. Step 4: Simplify right side
    701.19x = 393,217.64
  5. Step 5: Solve for x
    x = 393,217.64/701.19
  6. Step 6: Final answer
    x = 560.79

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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.