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Finding the Fourth Proportional to 546.53, 751.09 and 491.84

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Solution

The fourth proportional to 546.53, 751.09 and 491.84 is: 675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.53 : 751.09 = 491.84 : x
  2. Step 2: Convert to fraction form
    546.53/751.09 = 491.84/x
  3. Step 3: Cross multiply
    546.53x = 751.09 × 491.84
  4. Step 4: Simplify right side
    546.53x = 369,416.11
  5. Step 5: Solve for x
    x = 369,416.11/546.53
  6. Step 6: Final answer
    x = 675.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.