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Finding the Fourth Proportional to 693.05, 956.78 and 441.23

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Solution

The fourth proportional to 693.05, 956.78 and 441.23 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.05 : 956.78 = 441.23 : x
  2. Step 2: Convert to fraction form
    693.05/956.78 = 441.23/x
  3. Step 3: Cross multiply
    693.05x = 956.78 × 441.23
  4. Step 4: Simplify right side
    693.05x = 422,153.05
  5. Step 5: Solve for x
    x = 422,153.05/693.05
  6. Step 6: Final answer
    x = 609.13

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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.