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Finding the Fourth Proportional to 526.05, 726.17 and 428.31

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Solution

The fourth proportional to 526.05, 726.17 and 428.31 is: 591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.05 : 726.17 = 428.31 : x
  2. Step 2: Convert to fraction form
    526.05/726.17 = 428.31/x
  3. Step 3: Cross multiply
    526.05x = 726.17 × 428.31
  4. Step 4: Simplify right side
    526.05x = 311,023.73
  5. Step 5: Solve for x
    x = 311,023.73/526.05
  6. Step 6: Final answer
    x = 591.24

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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.