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Finding the Fourth Proportional to 546.42, 754.08 and 313.50

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Solution

The fourth proportional to 546.42, 754.08 and 313.50 is: 432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 754.08 = 313.50 : x
  2. Step 2: Convert to fraction form
    546.42/754.08 = 313.50/x
  3. Step 3: Cross multiply
    546.42x = 754.08 × 313.50
  4. Step 4: Simplify right side
    546.42x = 236,404.08
  5. Step 5: Solve for x
    x = 236,404.08/546.42
  6. Step 6: Final answer
    x = 432.64

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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.