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Finding the Fourth Proportional to 544.60, 751.30 and 411.40

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Solution

The fourth proportional to 544.60, 751.30 and 411.40 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.60 : 751.30 = 411.40 : x
  2. Step 2: Convert to fraction form
    544.60/751.30 = 411.40/x
  3. Step 3: Cross multiply
    544.60x = 751.30 × 411.40
  4. Step 4: Simplify right side
    544.60x = 309,084.82
  5. Step 5: Solve for x
    x = 309,084.82/544.60
  6. Step 6: Final answer
    x = 567.54

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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.