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Finding the Fourth Proportional to 574.24, 856.73 and 546.76

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Solution

The fourth proportional to 574.24, 856.73 and 546.76 is: 815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.24 : 856.73 = 546.76 : x
  2. Step 2: Convert to fraction form
    574.24/856.73 = 546.76/x
  3. Step 3: Cross multiply
    574.24x = 856.73 × 546.76
  4. Step 4: Simplify right side
    574.24x = 468,425.69
  5. Step 5: Solve for x
    x = 468,425.69/574.24
  6. Step 6: Final answer
    x = 815.73

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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.