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Finding the Fourth Proportional to 543.58, 749.96 and 347.08

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Solution

The fourth proportional to 543.58, 749.96 and 347.08 is: 478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.58 : 749.96 = 347.08 : x
  2. Step 2: Convert to fraction form
    543.58/749.96 = 347.08/x
  3. Step 3: Cross multiply
    543.58x = 749.96 × 347.08
  4. Step 4: Simplify right side
    543.58x = 260,296.12
  5. Step 5: Solve for x
    x = 260,296.12/543.58
  6. Step 6: Final answer
    x = 478.86

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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.