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Finding the Fourth Proportional to 557.47, 768.25 and 543.80

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Solution

The fourth proportional to 557.47, 768.25 and 543.80 is: 749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.47 : 768.25 = 543.80 : x
  2. Step 2: Convert to fraction form
    557.47/768.25 = 543.80/x
  3. Step 3: Cross multiply
    557.47x = 768.25 × 543.80
  4. Step 4: Simplify right side
    557.47x = 417,774.35
  5. Step 5: Solve for x
    x = 417,774.35/557.47
  6. Step 6: Final answer
    x = 749.41

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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.