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Finding the Fourth Proportional to 566.99, 782.43 and 345.86

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Solution

The fourth proportional to 566.99, 782.43 and 345.86 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 782.43 = 345.86 : x
  2. Step 2: Convert to fraction form
    566.99/782.43 = 345.86/x
  3. Step 3: Cross multiply
    566.99x = 782.43 × 345.86
  4. Step 4: Simplify right side
    566.99x = 270,611.24
  5. Step 5: Solve for x
    x = 270,611.24/566.99
  6. Step 6: Final answer
    x = 477.28

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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.