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Finding the Fourth Proportional to 777.53, 1,072.92 and 441.43

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Solution

The fourth proportional to 777.53, 1,072.92 and 441.43 is: 609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.53 : 1,072.92 = 441.43 : x
  2. Step 2: Convert to fraction form
    777.53/1,072.92 = 441.43/x
  3. Step 3: Cross multiply
    777.53x = 1,072.92 × 441.43
  4. Step 4: Simplify right side
    777.53x = 473,616.39
  5. Step 5: Solve for x
    x = 473,616.39/777.53
  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.