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Finding the Fourth Proportional to 469.54, 705.83 and 454.96

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Solution

The fourth proportional to 469.54, 705.83 and 454.96 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 705.83 = 454.96 : x
  2. Step 2: Convert to fraction form
    469.54/705.83 = 454.96/x
  3. Step 3: Cross multiply
    469.54x = 705.83 × 454.96
  4. Step 4: Simplify right side
    469.54x = 321,124.42
  5. Step 5: Solve for x
    x = 321,124.42/469.54
  6. Step 6: Final answer
    x = 683.91

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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.