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Finding the Fourth Proportional to 543.57, 749.64 and 357.00

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Solution

The fourth proportional to 543.57, 749.64 and 357.00 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.57 : 749.64 = 357.00 : x
  2. Step 2: Convert to fraction form
    543.57/749.64 = 357.00/x
  3. Step 3: Cross multiply
    543.57x = 749.64 × 357.00
  4. Step 4: Simplify right side
    543.57x = 267,615.95
  5. Step 5: Solve for x
    x = 267,615.95/543.57
  6. Step 6: Final answer
    x = 492.33

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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.