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Finding the Fourth Proportional to 556.61, 767.62 and 379.85

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Solution

The fourth proportional to 556.61, 767.62 and 379.85 is: 523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 767.62 = 379.85 : x
  2. Step 2: Convert to fraction form
    556.61/767.62 = 379.85/x
  3. Step 3: Cross multiply
    556.61x = 767.62 × 379.85
  4. Step 4: Simplify right side
    556.61x = 291,582.85
  5. Step 5: Solve for x
    x = 291,582.85/556.61
  6. Step 6: Final answer
    x = 523.86

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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.