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Finding the Fourth Proportional to 501.67, 691.77 and 431.97

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Solution

The fourth proportional to 501.67, 691.77 and 431.97 is: 595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.67 : 691.77 = 431.97 : x
  2. Step 2: Convert to fraction form
    501.67/691.77 = 431.97/x
  3. Step 3: Cross multiply
    501.67x = 691.77 × 431.97
  4. Step 4: Simplify right side
    501.67x = 298,823.89
  5. Step 5: Solve for x
    x = 298,823.89/501.67
  6. Step 6: Final answer
    x = 595.66

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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.