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Finding the Fourth Proportional to 566.58, 782.22 and 401.14

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Solution

The fourth proportional to 566.58, 782.22 and 401.14 is: 553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.58 : 782.22 = 401.14 : x
  2. Step 2: Convert to fraction form
    566.58/782.22 = 401.14/x
  3. Step 3: Cross multiply
    566.58x = 782.22 × 401.14
  4. Step 4: Simplify right side
    566.58x = 313,779.73
  5. Step 5: Solve for x
    x = 313,779.73/566.58
  6. Step 6: Final answer
    x = 553.81

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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.