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Finding the Fourth Proportional to 435.35, 653.07 and 404.39

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Solution

The fourth proportional to 435.35, 653.07 and 404.39 is: 606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.35 : 653.07 = 404.39 : x
  2. Step 2: Convert to fraction form
    435.35/653.07 = 404.39/x
  3. Step 3: Cross multiply
    435.35x = 653.07 × 404.39
  4. Step 4: Simplify right side
    435.35x = 264,094.98
  5. Step 5: Solve for x
    x = 264,094.98/435.35
  6. Step 6: Final answer
    x = 606.63

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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.