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Finding the Fourth Proportional to 469.62, 705.26 and 445.70

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Solution

The fourth proportional to 469.62, 705.26 and 445.70 is: 669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 705.26 = 445.70 : x
  2. Step 2: Convert to fraction form
    469.62/705.26 = 445.70/x
  3. Step 3: Cross multiply
    469.62x = 705.26 × 445.70
  4. Step 4: Simplify right side
    469.62x = 314,334.38
  5. Step 5: Solve for x
    x = 314,334.38/469.62
  6. Step 6: Final answer
    x = 669.34

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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.