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Finding the Fourth Proportional to 547.02, 820.98 and 287.31

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Solution

The fourth proportional to 547.02, 820.98 and 287.31 is: 431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 820.98 = 287.31 : x
  2. Step 2: Convert to fraction form
    547.02/820.98 = 287.31/x
  3. Step 3: Cross multiply
    547.02x = 820.98 × 287.31
  4. Step 4: Simplify right side
    547.02x = 235,875.76
  5. Step 5: Solve for x
    x = 235,875.76/547.02
  6. Step 6: Final answer
    x = 431.20

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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.