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Finding the Fourth Proportional to 556.94, 767.72 and 416.85

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Solution

The fourth proportional to 556.94, 767.72 and 416.85 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.94 : 767.72 = 416.85 : x
  2. Step 2: Convert to fraction form
    556.94/767.72 = 416.85/x
  3. Step 3: Cross multiply
    556.94x = 767.72 × 416.85
  4. Step 4: Simplify right side
    556.94x = 320,021.29
  5. Step 5: Solve for x
    x = 320,021.29/556.94
  6. Step 6: Final answer
    x = 574.61

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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.