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Finding the Fourth Proportional to 543.65, 749.80 and 366.55

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Solution

The fourth proportional to 543.65, 749.80 and 366.55 is: 505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.65 : 749.80 = 366.55 : x
  2. Step 2: Convert to fraction form
    543.65/749.80 = 366.55/x
  3. Step 3: Cross multiply
    543.65x = 749.80 × 366.55
  4. Step 4: Simplify right side
    543.65x = 274,839.19
  5. Step 5: Solve for x
    x = 274,839.19/543.65
  6. Step 6: Final answer
    x = 505.54

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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.