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Finding the Fourth Proportional to 556.12, 767.76 and 494.60

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Solution

The fourth proportional to 556.12, 767.76 and 494.60 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.12 : 767.76 = 494.60 : x
  2. Step 2: Convert to fraction form
    556.12/767.76 = 494.60/x
  3. Step 3: Cross multiply
    556.12x = 767.76 × 494.60
  4. Step 4: Simplify right side
    556.12x = 379,734.10
  5. Step 5: Solve for x
    x = 379,734.10/556.12
  6. Step 6: Final answer
    x = 682.83

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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.