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Finding the Fourth Proportional to 546.39, 822.47 and 503.46

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Solution

The fourth proportional to 546.39, 822.47 and 503.46 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 822.47 = 503.46 : x
  2. Step 2: Convert to fraction form
    546.39/822.47 = 503.46/x
  3. Step 3: Cross multiply
    546.39x = 822.47 × 503.46
  4. Step 4: Simplify right side
    546.39x = 414,078.23
  5. Step 5: Solve for x
    x = 414,078.23/546.39
  6. Step 6: Final answer
    x = 757.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.