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Finding the Fourth Proportional to 556.18, 767.57 and 320.18

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Solution

The fourth proportional to 556.18, 767.57 and 320.18 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.18 : 767.57 = 320.18 : x
  2. Step 2: Convert to fraction form
    556.18/767.57 = 320.18/x
  3. Step 3: Cross multiply
    556.18x = 767.57 × 320.18
  4. Step 4: Simplify right side
    556.18x = 245,755.12
  5. Step 5: Solve for x
    x = 245,755.12/556.18
  6. Step 6: Final answer
    x = 441.86

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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.