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Finding the Fourth Proportional to 566.49, 779.16 and 455.72

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Solution

The fourth proportional to 566.49, 779.16 and 455.72 is: 626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 779.16 = 455.72 : x
  2. Step 2: Convert to fraction form
    566.49/779.16 = 455.72/x
  3. Step 3: Cross multiply
    566.49x = 779.16 × 455.72
  4. Step 4: Simplify right side
    566.49x = 355,078.80
  5. Step 5: Solve for x
    x = 355,078.80/566.49
  6. Step 6: Final answer
    x = 626.81

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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.