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Finding the Fourth Proportional to 472.32, 704.88 and 435.96

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Solution

The fourth proportional to 472.32, 704.88 and 435.96 is: 650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 704.88 = 435.96 : x
  2. Step 2: Convert to fraction form
    472.32/704.88 = 435.96/x
  3. Step 3: Cross multiply
    472.32x = 704.88 × 435.96
  4. Step 4: Simplify right side
    472.32x = 307,299.48
  5. Step 5: Solve for x
    x = 307,299.48/472.32
  6. Step 6: Final answer
    x = 650.62

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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.