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Finding the Fourth Proportional to 777.48, 1,166.81 and 412.35

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Solution

The fourth proportional to 777.48, 1,166.81 and 412.35 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,166.81 = 412.35 : x
  2. Step 2: Convert to fraction form
    777.48/1,166.81 = 412.35/x
  3. Step 3: Cross multiply
    777.48x = 1,166.81 × 412.35
  4. Step 4: Simplify right side
    777.48x = 481,134.10
  5. Step 5: Solve for x
    x = 481,134.10/777.48
  6. Step 6: Final answer
    x = 618.84

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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.