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Finding the Fourth Proportional to 777.52, 1,073.13 and 441.43

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Solution

The fourth proportional to 777.52, 1,073.13 and 441.43 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.52 : 1,073.13 = 441.43 : x
  2. Step 2: Convert to fraction form
    777.52/1,073.13 = 441.43/x
  3. Step 3: Cross multiply
    777.52x = 1,073.13 × 441.43
  4. Step 4: Simplify right side
    777.52x = 473,709.09
  5. Step 5: Solve for x
    x = 473,709.09/777.52
  6. Step 6: Final answer
    x = 609.26

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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.