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Finding the Fourth Proportional to 544.62, 750.57 and 397.00

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Solution

The fourth proportional to 544.62, 750.57 and 397.00 is: 547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.62 : 750.57 = 397.00 : x
  2. Step 2: Convert to fraction form
    544.62/750.57 = 397.00/x
  3. Step 3: Cross multiply
    544.62x = 750.57 × 397.00
  4. Step 4: Simplify right side
    544.62x = 297,975.74
  5. Step 5: Solve for x
    x = 297,975.74/544.62
  6. Step 6: Final answer
    x = 547.12

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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.