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Finding the Fourth Proportional to 445.84, 665.38 and 434.32

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Solution

The fourth proportional to 445.84, 665.38 and 434.32 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.84 : 665.38 = 434.32 : x
  2. Step 2: Convert to fraction form
    445.84/665.38 = 434.32/x
  3. Step 3: Cross multiply
    445.84x = 665.38 × 434.32
  4. Step 4: Simplify right side
    445.84x = 288,987.84
  5. Step 5: Solve for x
    x = 288,987.84/445.84
  6. Step 6: Final answer
    x = 648.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.