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Finding the Fourth Proportional to 526.80, 726.64 and 379.16

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Solution

The fourth proportional to 526.80, 726.64 and 379.16 is: 522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 726.64 = 379.16 : x
  2. Step 2: Convert to fraction form
    526.80/726.64 = 379.16/x
  3. Step 3: Cross multiply
    526.80x = 726.64 × 379.16
  4. Step 4: Simplify right side
    526.80x = 275,512.82
  5. Step 5: Solve for x
    x = 275,512.82/526.80
  6. Step 6: Final answer
    x = 522.99

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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.