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Finding the Fourth Proportional to 433.37, 653.91 and 416.49

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Solution

The fourth proportional to 433.37, 653.91 and 416.49 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.37 : 653.91 = 416.49 : x
  2. Step 2: Convert to fraction form
    433.37/653.91 = 416.49/x
  3. Step 3: Cross multiply
    433.37x = 653.91 × 416.49
  4. Step 4: Simplify right side
    433.37x = 272,346.98
  5. Step 5: Solve for x
    x = 272,346.98/433.37
  6. Step 6: Final answer
    x = 628.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.