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Finding the Fourth Proportional to 526.77, 726.84 and 379.62

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Solution

The fourth proportional to 526.77, 726.84 and 379.62 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.77 : 726.84 = 379.62 : x
  2. Step 2: Convert to fraction form
    526.77/726.84 = 379.62/x
  3. Step 3: Cross multiply
    526.77x = 726.84 × 379.62
  4. Step 4: Simplify right side
    526.77x = 275,923.00
  5. Step 5: Solve for x
    x = 275,923.00/526.77
  6. Step 6: Final answer
    x = 523.80

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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.