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Finding the Fourth Proportional to 544.31, 817.78 and 532.77

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Solution

The fourth proportional to 544.31, 817.78 and 532.77 is: 800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.31 : 817.78 = 532.77 : x
  2. Step 2: Convert to fraction form
    544.31/817.78 = 532.77/x
  3. Step 3: Cross multiply
    544.31x = 817.78 × 532.77
  4. Step 4: Simplify right side
    544.31x = 435,688.65
  5. Step 5: Solve for x
    x = 435,688.65/544.31
  6. Step 6: Final answer
    x = 800.44

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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.