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Finding the Fourth Proportional to 547.36, 821.88 and 456.64

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Solution

The fourth proportional to 547.36, 821.88 and 456.64 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 821.88 = 456.64 : x
  2. Step 2: Convert to fraction form
    547.36/821.88 = 456.64/x
  3. Step 3: Cross multiply
    547.36x = 821.88 × 456.64
  4. Step 4: Simplify right side
    547.36x = 375,303.28
  5. Step 5: Solve for x
    x = 375,303.28/547.36
  6. Step 6: Final answer
    x = 685.66

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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.