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Finding the Fourth Proportional to 547.94, 821.64 and 456.68

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Solution

The fourth proportional to 547.94, 821.64 and 456.68 is: 684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.94 : 821.64 = 456.68 : x
  2. Step 2: Convert to fraction form
    547.94/821.64 = 456.68/x
  3. Step 3: Cross multiply
    547.94x = 821.64 × 456.68
  4. Step 4: Simplify right side
    547.94x = 375,230.32
  5. Step 5: Solve for x
    x = 375,230.32/547.94
  6. Step 6: Final answer
    x = 684.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.