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Finding the Fourth Proportional to 556.04, 766.44 and 445.34

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Solution

The fourth proportional to 556.04, 766.44 and 445.34 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.04 : 766.44 = 445.34 : x
  2. Step 2: Convert to fraction form
    556.04/766.44 = 445.34/x
  3. Step 3: Cross multiply
    556.04x = 766.44 × 445.34
  4. Step 4: Simplify right side
    556.04x = 341,326.39
  5. Step 5: Solve for x
    x = 341,326.39/556.04
  6. Step 6: Final answer
    x = 613.85

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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.