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Finding the Fourth Proportional to 561.96, 775.08 and 404.82

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Solution

The fourth proportional to 561.96, 775.08 and 404.82 is: 558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.96 : 775.08 = 404.82 : x
  2. Step 2: Convert to fraction form
    561.96/775.08 = 404.82/x
  3. Step 3: Cross multiply
    561.96x = 775.08 × 404.82
  4. Step 4: Simplify right side
    561.96x = 313,767.89
  5. Step 5: Solve for x
    x = 313,767.89/561.96
  6. Step 6: Final answer
    x = 558.35

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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.