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Finding the Fourth Proportional to 547.99, 821.19 and 287.41

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Solution

The fourth proportional to 547.99, 821.19 and 287.41 is: 430.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.99 : 821.19 = 287.41 : x
  2. Step 2: Convert to fraction form
    547.99/821.19 = 287.41/x
  3. Step 3: Cross multiply
    547.99x = 821.19 × 287.41
  4. Step 4: Simplify right side
    547.99x = 236,018.22
  5. Step 5: Solve for x
    x = 236,018.22/547.99
  6. Step 6: Final answer
    x = 430.70

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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.