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Finding the Fourth Proportional to 700.96, 966.68 and 561.09

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Solution

The fourth proportional to 700.96, 966.68 and 561.09 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.96 : 966.68 = 561.09 : x
  2. Step 2: Convert to fraction form
    700.96/966.68 = 561.09/x
  3. Step 3: Cross multiply
    700.96x = 966.68 × 561.09
  4. Step 4: Simplify right side
    700.96x = 542,394.48
  5. Step 5: Solve for x
    x = 542,394.48/700.96
  6. Step 6: Final answer
    x = 773.79

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1.5x scale

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.