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Finding the Fourth Proportional to 566.60, 782.49 and 345.70

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Solution

The fourth proportional to 566.60, 782.49 and 345.70 is: 477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 782.49 = 345.70 : x
  2. Step 2: Convert to fraction form
    566.60/782.49 = 345.70/x
  3. Step 3: Cross multiply
    566.60x = 782.49 × 345.70
  4. Step 4: Simplify right side
    566.60x = 270,509.07
  5. Step 5: Solve for x
    x = 270,509.07/566.60
  6. Step 6: Final answer
    x = 477.43

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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.