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Finding the Fourth Proportional to 777.44, 1,072.98 and 446

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Solution

The fourth proportional to 777.44, 1,072.98 and 446 is: 615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.44 : 1,072.98 = 446 : x
  2. Step 2: Convert to fraction form
    777.44/1,072.98 = 446/x
  3. Step 3: Cross multiply
    777.44x = 1,072.98 × 446
  4. Step 4: Simplify right side
    777.44x = 478,549.08
  5. Step 5: Solve for x
    x = 478,549.08/777.44
  6. Step 6: Final answer
    x = 615.54

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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.