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Finding the Fourth Proportional to 547, 821.04 and 290.50

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Solution

The fourth proportional to 547, 821.04 and 290.50 is: 436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547 : 821.04 = 290.50 : x
  2. Step 2: Convert to fraction form
    547/821.04 = 290.50/x
  3. Step 3: Cross multiply
    547x = 821.04 × 290.50
  4. Step 4: Simplify right side
    547x = 238,512.12
  5. Step 5: Solve for x
    x = 238,512.12/547
  6. Step 6: Final answer
    x = 436.04

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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.