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Finding the Fourth Proportional to 543.86, 749.27 and 446.25

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Solution

The fourth proportional to 543.86, 749.27 and 446.25 is: 614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 749.27 = 446.25 : x
  2. Step 2: Convert to fraction form
    543.86/749.27 = 446.25/x
  3. Step 3: Cross multiply
    543.86x = 749.27 × 446.25
  4. Step 4: Simplify right side
    543.86x = 334,362.85
  5. Step 5: Solve for x
    x = 334,362.85/543.86
  6. Step 6: Final answer
    x = 614.80

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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.