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Finding the Fourth Proportional to 700.59, 966.84 and 420.84

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Solution

The fourth proportional to 700.59, 966.84 and 420.84 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.59 : 966.84 = 420.84 : x
  2. Step 2: Convert to fraction form
    700.59/966.84 = 420.84/x
  3. Step 3: Cross multiply
    700.59x = 966.84 × 420.84
  4. Step 4: Simplify right side
    700.59x = 406,883.37
  5. Step 5: Solve for x
    x = 406,883.37/700.59
  6. Step 6: Final answer
    x = 580.77

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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.