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Finding the Fourth Proportional to 543.32, 749.94 and 377.66

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Solution

The fourth proportional to 543.32, 749.94 and 377.66 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.32 : 749.94 = 377.66 : x
  2. Step 2: Convert to fraction form
    543.32/749.94 = 377.66/x
  3. Step 3: Cross multiply
    543.32x = 749.94 × 377.66
  4. Step 4: Simplify right side
    543.32x = 283,222.34
  5. Step 5: Solve for x
    x = 283,222.34/543.32
  6. Step 6: Final answer
    x = 521.28

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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.