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Finding the Fourth Proportional to 700.60, 966.45 and 434.96

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Solution

The fourth proportional to 700.60, 966.45 and 434.96 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 966.45 = 434.96 : x
  2. Step 2: Convert to fraction form
    700.60/966.45 = 434.96/x
  3. Step 3: Cross multiply
    700.60x = 966.45 × 434.96
  4. Step 4: Simplify right side
    700.60x = 420,362.26
  5. Step 5: Solve for x
    x = 420,362.26/700.60
  6. Step 6: Final answer
    x = 600.01

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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.