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Finding the Fourth Proportional to 546.38, 754.07 and 313.50

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Solution

The fourth proportional to 546.38, 754.07 and 313.50 is: 432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 754.07 = 313.50 : x
  2. Step 2: Convert to fraction form
    546.38/754.07 = 313.50/x
  3. Step 3: Cross multiply
    546.38x = 754.07 × 313.50
  4. Step 4: Simplify right side
    546.38x = 236,399.38
  5. Step 5: Solve for x
    x = 236,399.38/546.38
  6. Step 6: Final answer
    x = 432.67

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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.