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Finding the Fourth Proportional to 700.80, 966.96 and 406.08

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Solution

The fourth proportional to 700.80, 966.96 and 406.08 is: 560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.80 : 966.96 = 406.08 : x
  2. Step 2: Convert to fraction form
    700.80/966.96 = 406.08/x
  3. Step 3: Cross multiply
    700.80x = 966.96 × 406.08
  4. Step 4: Simplify right side
    700.80x = 392,663.12
  5. Step 5: Solve for x
    x = 392,663.12/700.80
  6. Step 6: Final answer
    x = 560.31

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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.