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Finding the Fourth Proportional to 544.02, 821.95 and 539.16

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Solution

The fourth proportional to 544.02, 821.95 and 539.16 is: 814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.02 : 821.95 = 539.16 : x
  2. Step 2: Convert to fraction form
    544.02/821.95 = 539.16/x
  3. Step 3: Cross multiply
    544.02x = 821.95 × 539.16
  4. Step 4: Simplify right side
    544.02x = 443,158.13
  5. Step 5: Solve for x
    x = 443,158.13/544.02
  6. Step 6: Final answer
    x = 814.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.