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Finding the Fourth Proportional to 777.84, 1,074.20 and 612.04

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Solution

The fourth proportional to 777.84, 1,074.20 and 612.04 is: 845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.84 : 1,074.20 = 612.04 : x
  2. Step 2: Convert to fraction form
    777.84/1,074.20 = 612.04/x
  3. Step 3: Cross multiply
    777.84x = 1,074.20 × 612.04
  4. Step 4: Simplify right side
    777.84x = 657,453.37
  5. Step 5: Solve for x
    x = 657,453.37/777.84
  6. Step 6: Final answer
    x = 845.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.