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Finding the Fourth Proportional to 777.60, 1,073.09 and 441.49

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Solution

The fourth proportional to 777.60, 1,073.09 and 441.49 is: 609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.60 : 1,073.09 = 441.49 : x
  2. Step 2: Convert to fraction form
    777.60/1,073.09 = 441.49/x
  3. Step 3: Cross multiply
    777.60x = 1,073.09 × 441.49
  4. Step 4: Simplify right side
    777.60x = 473,753.32
  5. Step 5: Solve for x
    x = 473,753.32/777.60
  6. Step 6: Final answer
    x = 609.25

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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.