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Finding the Fourth Proportional to 566.70, 779.67 and 534.30

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Solution

The fourth proportional to 566.70, 779.67 and 534.30 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.70 : 779.67 = 534.30 : x
  2. Step 2: Convert to fraction form
    566.70/779.67 = 534.30/x
  3. Step 3: Cross multiply
    566.70x = 779.67 × 534.30
  4. Step 4: Simplify right side
    566.70x = 416,577.68
  5. Step 5: Solve for x
    x = 416,577.68/566.70
  6. Step 6: Final answer
    x = 735.09

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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.