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Finding the Fourth Proportional to 777.63, 1,073.16 and 441.60

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Solution

The fourth proportional to 777.63, 1,073.16 and 441.60 is: 609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.63 : 1,073.16 = 441.60 : x
  2. Step 2: Convert to fraction form
    777.63/1,073.16 = 441.60/x
  3. Step 3: Cross multiply
    777.63x = 1,073.16 × 441.60
  4. Step 4: Simplify right side
    777.63x = 473,907.46
  5. Step 5: Solve for x
    x = 473,907.46/777.63
  6. Step 6: Final answer
    x = 609.43

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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.