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Finding the Fourth Proportional to 561.81, 844.65 and 454.35

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Solution

The fourth proportional to 561.81, 844.65 and 454.35 is: 683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.81 : 844.65 = 454.35 : x
  2. Step 2: Convert to fraction form
    561.81/844.65 = 454.35/x
  3. Step 3: Cross multiply
    561.81x = 844.65 × 454.35
  4. Step 4: Simplify right side
    561.81x = 383,766.73
  5. Step 5: Solve for x
    x = 383,766.73/561.81
  6. Step 6: Final answer
    x = 683.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.