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Finding the Fourth Proportional to 777.04, 1,165.53 and 290.09

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Solution

The fourth proportional to 777.04, 1,165.53 and 290.09 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,165.53 = 290.09 : x
  2. Step 2: Convert to fraction form
    777.04/1,165.53 = 290.09/x
  3. Step 3: Cross multiply
    777.04x = 1,165.53 × 290.09
  4. Step 4: Simplify right side
    777.04x = 338,108.60
  5. Step 5: Solve for x
    x = 338,108.60/777.04
  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.