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Finding the Fourth Proportional to 544.32, 751.68 and 414.18

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Solution

The fourth proportional to 544.32, 751.68 and 414.18 is: 571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.32 : 751.68 = 414.18 : x
  2. Step 2: Convert to fraction form
    544.32/751.68 = 414.18/x
  3. Step 3: Cross multiply
    544.32x = 751.68 × 414.18
  4. Step 4: Simplify right side
    544.32x = 311,330.82
  5. Step 5: Solve for x
    x = 311,330.82/544.32
  6. Step 6: Final answer
    x = 571.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.