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Finding the Fourth Proportional to 483.55, 726.35 and 347.47

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Solution

The fourth proportional to 483.55, 726.35 and 347.47 is: 521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.55 : 726.35 = 347.47 : x
  2. Step 2: Convert to fraction form
    483.55/726.35 = 347.47/x
  3. Step 3: Cross multiply
    483.55x = 726.35 × 347.47
  4. Step 4: Simplify right side
    483.55x = 252,381.28
  5. Step 5: Solve for x
    x = 252,381.28/483.55
  6. Step 6: Final answer
    x = 521.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.