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Finding the Fourth Proportional to 566.15, 780.83 and 345.10

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Solution

The fourth proportional to 566.15, 780.83 and 345.10 is: 475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.15 : 780.83 = 345.10 : x
  2. Step 2: Convert to fraction form
    566.15/780.83 = 345.10/x
  3. Step 3: Cross multiply
    566.15x = 780.83 × 345.10
  4. Step 4: Simplify right side
    566.15x = 269,464.43
  5. Step 5: Solve for x
    x = 269,464.43/566.15
  6. Step 6: Final answer
    x = 475.96

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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.