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Finding the Fourth Proportional to 501.96, 691.98 and 408.84

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Solution

The fourth proportional to 501.96, 691.98 and 408.84 is: 563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.96 : 691.98 = 408.84 : x
  2. Step 2: Convert to fraction form
    501.96/691.98 = 408.84/x
  3. Step 3: Cross multiply
    501.96x = 691.98 × 408.84
  4. Step 4: Simplify right side
    501.96x = 282,909.10
  5. Step 5: Solve for x
    x = 282,909.10/501.96
  6. Step 6: Final answer
    x = 563.61

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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.