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Finding the Fourth Proportional to 556.80, 765.30 and 490.92

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Solution

The fourth proportional to 556.80, 765.30 and 490.92 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.80 : 765.30 = 490.92 : x
  2. Step 2: Convert to fraction form
    556.80/765.30 = 490.92/x
  3. Step 3: Cross multiply
    556.80x = 765.30 × 490.92
  4. Step 4: Simplify right side
    556.80x = 375,701.08
  5. Step 5: Solve for x
    x = 375,701.08/556.80
  6. Step 6: Final answer
    x = 674.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.