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Finding the Fourth Proportional to 556.21, 767.60 and 320.17

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Solution

The fourth proportional to 556.21, 767.60 and 320.17 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.21 : 767.60 = 320.17 : x
  2. Step 2: Convert to fraction form
    556.21/767.60 = 320.17/x
  3. Step 3: Cross multiply
    556.21x = 767.60 × 320.17
  4. Step 4: Simplify right side
    556.21x = 245,758.65
  5. Step 5: Solve for x
    x = 245,758.65/556.21
  6. Step 6: Final answer
    x = 441.85

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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.