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Finding the Fourth Proportional to 777.40, 1,166.91 and 412.49

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Solution

The fourth proportional to 777.40, 1,166.91 and 412.49 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.40 : 1,166.91 = 412.49 : x
  2. Step 2: Convert to fraction form
    777.40/1,166.91 = 412.49/x
  3. Step 3: Cross multiply
    777.40x = 1,166.91 × 412.49
  4. Step 4: Simplify right side
    777.40x = 481,340.08
  5. Step 5: Solve for x
    x = 481,340.08/777.40
  6. Step 6: Final answer
    x = 619.17

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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.