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Finding the Fourth Proportional to 547.06, 821.49 and 304.06

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Solution

The fourth proportional to 547.06, 821.49 and 304.06 is: 456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.06 : 821.49 = 304.06 : x
  2. Step 2: Convert to fraction form
    547.06/821.49 = 304.06/x
  3. Step 3: Cross multiply
    547.06x = 821.49 × 304.06
  4. Step 4: Simplify right side
    547.06x = 249,782.25
  5. Step 5: Solve for x
    x = 249,782.25/547.06
  6. Step 6: Final answer
    x = 456.59

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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.