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Finding the Fourth Proportional to 700.83, 967.32 and 406.29

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Solution

The fourth proportional to 700.83, 967.32 and 406.29 is: 560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 967.32 = 406.29 : x
  2. Step 2: Convert to fraction form
    700.83/967.32 = 406.29/x
  3. Step 3: Cross multiply
    700.83x = 967.32 × 406.29
  4. Step 4: Simplify right side
    700.83x = 393,012.44
  5. Step 5: Solve for x
    x = 393,012.44/700.83
  6. Step 6: Final answer
    x = 560.78

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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.