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Finding the Fourth Proportional to 435.36, 653.58 and 428.04

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Solution

The fourth proportional to 435.36, 653.58 and 428.04 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.36 : 653.58 = 428.04 : x
  2. Step 2: Convert to fraction form
    435.36/653.58 = 428.04/x
  3. Step 3: Cross multiply
    435.36x = 653.58 × 428.04
  4. Step 4: Simplify right side
    435.36x = 279,758.38
  5. Step 5: Solve for x
    x = 279,758.38/435.36
  6. Step 6: Final answer
    x = 642.59

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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.