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Finding the Fourth Proportional to 566.50, 850.36 and 476.18

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Solution

The fourth proportional to 566.50, 850.36 and 476.18 is: 714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 850.36 = 476.18 : x
  2. Step 2: Convert to fraction form
    566.50/850.36 = 476.18/x
  3. Step 3: Cross multiply
    566.50x = 850.36 × 476.18
  4. Step 4: Simplify right side
    566.50x = 404,924.42
  5. Step 5: Solve for x
    x = 404,924.42/566.50
  6. Step 6: Final answer
    x = 714.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.