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Finding the Fourth Proportional to 544.16, 811.72 and 511.04

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Solution

The fourth proportional to 544.16, 811.72 and 511.04 is: 762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 811.72 = 511.04 : x
  2. Step 2: Convert to fraction form
    544.16/811.72 = 511.04/x
  3. Step 3: Cross multiply
    544.16x = 811.72 × 511.04
  4. Step 4: Simplify right side
    544.16x = 414,821.39
  5. Step 5: Solve for x
    x = 414,821.39/544.16
  6. Step 6: Final answer
    x = 762.32

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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.