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Finding the Fourth Proportional to 777.03, 1,165.39 and 290.12

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Solution

The fourth proportional to 777.03, 1,165.39 and 290.12 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.03 : 1,165.39 = 290.12 : x
  2. Step 2: Convert to fraction form
    777.03/1,165.39 = 290.12/x
  3. Step 3: Cross multiply
    777.03x = 1,165.39 × 290.12
  4. Step 4: Simplify right side
    777.03x = 338,096.39
  5. Step 5: Solve for x
    x = 338,096.39/777.03
  6. Step 6: Final answer
    x = 435.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.