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Finding the Fourth Proportional to 700.60, 966.84 and 420.79

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Solution

The fourth proportional to 700.60, 966.84 and 420.79 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 966.84 = 420.79 : x
  2. Step 2: Convert to fraction form
    700.60/966.84 = 420.79/x
  3. Step 3: Cross multiply
    700.60x = 966.84 × 420.79
  4. Step 4: Simplify right side
    700.60x = 406,836.60
  5. Step 5: Solve for x
    x = 406,836.60/700.60
  6. Step 6: Final answer
    x = 580.70

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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.