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Finding the Fourth Proportional to 543.70, 760.27 and 543.70

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Solution

The fourth proportional to 543.70, 760.27 and 543.70 is: 760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.70 : 760.27 = 543.70 : x
  2. Step 2: Convert to fraction form
    543.70/760.27 = 543.70/x
  3. Step 3: Cross multiply
    543.70x = 760.27 × 543.70
  4. Step 4: Simplify right side
    543.70x = 413,358.80
  5. Step 5: Solve for x
    x = 413,358.80/543.70
  6. Step 6: Final answer
    x = 760.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.