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Finding the Fourth Proportional to 570.72, 850.56 and 546.56

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Solution

The fourth proportional to 570.72, 850.56 and 546.56 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 850.56 = 546.56 : x
  2. Step 2: Convert to fraction form
    570.72/850.56 = 546.56/x
  3. Step 3: Cross multiply
    570.72x = 850.56 × 546.56
  4. Step 4: Simplify right side
    570.72x = 464,882.07
  5. Step 5: Solve for x
    x = 464,882.07/570.72
  6. Step 6: Final answer
    x = 814.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.