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Finding the Fourth Proportional to 556.88, 767.88 and 406.82

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Solution

The fourth proportional to 556.88, 767.88 and 406.82 is: 560.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.88 : 767.88 = 406.82 : x
  2. Step 2: Convert to fraction form
    556.88/767.88 = 406.82/x
  3. Step 3: Cross multiply
    556.88x = 767.88 × 406.82
  4. Step 4: Simplify right side
    556.88x = 312,390.86
  5. Step 5: Solve for x
    x = 312,390.86/556.88
  6. Step 6: Final answer
    x = 560.97

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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.