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Finding the Fourth Proportional to 446.16, 663.12 and 434.04

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Solution

The fourth proportional to 446.16, 663.12 and 434.04 is: 645.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.16 : 663.12 = 434.04 : x
  2. Step 2: Convert to fraction form
    446.16/663.12 = 434.04/x
  3. Step 3: Cross multiply
    446.16x = 663.12 × 434.04
  4. Step 4: Simplify right side
    446.16x = 287,820.60
  5. Step 5: Solve for x
    x = 287,820.60/446.16
  6. Step 6: Final answer
    x = 645.11

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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.