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Finding the Fourth Proportional to 604.85, 835.16 and 464.74

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Solution

The fourth proportional to 604.85, 835.16 and 464.74 is: 641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.85 : 835.16 = 464.74 : x
  2. Step 2: Convert to fraction form
    604.85/835.16 = 464.74/x
  3. Step 3: Cross multiply
    604.85x = 835.16 × 464.74
  4. Step 4: Simplify right side
    604.85x = 388,127.85
  5. Step 5: Solve for x
    x = 388,127.85/604.85
  6. Step 6: Final answer
    x = 641.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.