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Finding the Fourth Proportional to 543.59, 748.78 and 503.72

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Solution

The fourth proportional to 543.59, 748.78 and 503.72 is: 693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.59 : 748.78 = 503.72 : x
  2. Step 2: Convert to fraction form
    543.59/748.78 = 503.72/x
  3. Step 3: Cross multiply
    543.59x = 748.78 × 503.72
  4. Step 4: Simplify right side
    543.59x = 377,176.72
  5. Step 5: Solve for x
    x = 377,176.72/543.59
  6. Step 6: Final answer
    x = 693.87

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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.