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Finding the Fourth Proportional to 543.41, 749.71 and 357

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Solution

The fourth proportional to 543.41, 749.71 and 357 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.41 : 749.71 = 357 : x
  2. Step 2: Convert to fraction form
    543.41/749.71 = 357/x
  3. Step 3: Cross multiply
    543.41x = 749.71 × 357
  4. Step 4: Simplify right side
    543.41x = 267,646.47
  5. Step 5: Solve for x
    x = 267,646.47/543.41
  6. Step 6: Final answer
    x = 492.53

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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.