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Finding the Fourth Proportional to 566.78, 782.10 and 345.79

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Solution

The fourth proportional to 566.78, 782.10 and 345.79 is: 477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.78 : 782.10 = 345.79 : x
  2. Step 2: Convert to fraction form
    566.78/782.10 = 345.79/x
  3. Step 3: Cross multiply
    566.78x = 782.10 × 345.79
  4. Step 4: Simplify right side
    566.78x = 270,438.45
  5. Step 5: Solve for x
    x = 270,438.45/566.78
  6. Step 6: Final answer
    x = 477.15

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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.