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Finding the Fourth Proportional to 700.72, 966.83 and 461.42

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Solution

The fourth proportional to 700.72, 966.83 and 461.42 is: 636.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.72 : 966.83 = 461.42 : x
  2. Step 2: Convert to fraction form
    700.72/966.83 = 461.42/x
  3. Step 3: Cross multiply
    700.72x = 966.83 × 461.42
  4. Step 4: Simplify right side
    700.72x = 446,114.81
  5. Step 5: Solve for x
    x = 446,114.81/700.72
  6. Step 6: Final answer
    x = 636.65

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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.