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Finding the Fourth Proportional to 544.52, 811.54 and 535.88

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Solution

The fourth proportional to 544.52, 811.54 and 535.88 is: 798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.52 : 811.54 = 535.88 : x
  2. Step 2: Convert to fraction form
    544.52/811.54 = 535.88/x
  3. Step 3: Cross multiply
    544.52x = 811.54 × 535.88
  4. Step 4: Simplify right side
    544.52x = 434,888.06
  5. Step 5: Solve for x
    x = 434,888.06/544.52
  6. Step 6: Final answer
    x = 798.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.