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Finding the Fourth Proportional to 777.25, 1,165.61 and 290.04

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Solution

The fourth proportional to 777.25, 1,165.61 and 290.04 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.25 : 1,165.61 = 290.04 : x
  2. Step 2: Convert to fraction form
    777.25/1,165.61 = 290.04/x
  3. Step 3: Cross multiply
    777.25x = 1,165.61 × 290.04
  4. Step 4: Simplify right side
    777.25x = 338,066.25
  5. Step 5: Solve for x
    x = 338,066.25/777.25
  6. Step 6: Final answer
    x = 434.95

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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.