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Finding the Fourth Proportional to 526.91, 725.96 and 428.49

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Solution

The fourth proportional to 526.91, 725.96 and 428.49 is: 590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.91 : 725.96 = 428.49 : x
  2. Step 2: Convert to fraction form
    526.91/725.96 = 428.49/x
  3. Step 3: Cross multiply
    526.91x = 725.96 × 428.49
  4. Step 4: Simplify right side
    526.91x = 311,067.67
  5. Step 5: Solve for x
    x = 311,067.67/526.91
  6. Step 6: Final answer
    x = 590.37

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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.