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Finding the Fourth Proportional to 600.24, 900.29 and 446.40

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Solution

The fourth proportional to 600.24, 900.29 and 446.40 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 900.29 = 446.40 : x
  2. Step 2: Convert to fraction form
    600.24/900.29 = 446.40/x
  3. Step 3: Cross multiply
    600.24x = 900.29 × 446.40
  4. Step 4: Simplify right side
    600.24x = 401,884.95
  5. Step 5: Solve for x
    x = 401,884.95/600.24
  6. Step 6: Final answer
    x = 669.54

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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.