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Finding the Fourth Proportional to 546.11, 753.73 and 310.07

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Solution

The fourth proportional to 546.11, 753.73 and 310.07 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.11 : 753.73 = 310.07 : x
  2. Step 2: Convert to fraction form
    546.11/753.73 = 310.07/x
  3. Step 3: Cross multiply
    546.11x = 753.73 × 310.07
  4. Step 4: Simplify right side
    546.11x = 233,710.17
  5. Step 5: Solve for x
    x = 233,710.17/546.11
  6. Step 6: Final answer
    x = 427.96

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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.