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Finding the Fourth Proportional to 501.86, 691.75 and 396.77

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Solution

The fourth proportional to 501.86, 691.75 and 396.77 is: 546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 691.75 = 396.77 : x
  2. Step 2: Convert to fraction form
    501.86/691.75 = 396.77/x
  3. Step 3: Cross multiply
    501.86x = 691.75 × 396.77
  4. Step 4: Simplify right side
    501.86x = 274,462.68
  5. Step 5: Solve for x
    x = 274,462.68/501.86
  6. Step 6: Final answer
    x = 546.89

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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.