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Finding the Fourth Proportional to 543.20, 749.60 and 346.91

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Solution

The fourth proportional to 543.20, 749.60 and 346.91 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.20 : 749.60 = 346.91 : x
  2. Step 2: Convert to fraction form
    543.20/749.60 = 346.91/x
  3. Step 3: Cross multiply
    543.20x = 749.60 × 346.91
  4. Step 4: Simplify right side
    543.20x = 260,038.25
  5. Step 5: Solve for x
    x = 260,038.25/543.20
  6. Step 6: Final answer
    x = 478.72

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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.