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Finding the Fourth Proportional to 777.27, 1,072.70 and 445.74

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Solution

The fourth proportional to 777.27, 1,072.70 and 445.74 is: 615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.27 : 1,072.70 = 445.74 : x
  2. Step 2: Convert to fraction form
    777.27/1,072.70 = 445.74/x
  3. Step 3: Cross multiply
    777.27x = 1,072.70 × 445.74
  4. Step 4: Simplify right side
    777.27x = 478,145.30
  5. Step 5: Solve for x
    x = 478,145.30/777.27
  6. Step 6: Final answer
    x = 615.16

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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.