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Finding the Fourth Proportional to 600.85, 904.46 and 428.71

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Solution

The fourth proportional to 600.85, 904.46 and 428.71 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.85 : 904.46 = 428.71 : x
  2. Step 2: Convert to fraction form
    600.85/904.46 = 428.71/x
  3. Step 3: Cross multiply
    600.85x = 904.46 × 428.71
  4. Step 4: Simplify right side
    600.85x = 387,748.79
  5. Step 5: Solve for x
    x = 387,748.79/600.85
  6. Step 6: Final answer
    x = 645.34

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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.