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Finding the Fourth Proportional to 543.21, 747.75 and 525.43

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Solution

The fourth proportional to 543.21, 747.75 and 525.43 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.21 : 747.75 = 525.43 : x
  2. Step 2: Convert to fraction form
    543.21/747.75 = 525.43/x
  3. Step 3: Cross multiply
    543.21x = 747.75 × 525.43
  4. Step 4: Simplify right side
    543.21x = 392,890.28
  5. Step 5: Solve for x
    x = 392,890.28/543.21
  6. Step 6: Final answer
    x = 723.28

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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.