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Finding the Fourth Proportional to 609.60, 908.64 and 604.82

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Solution

The fourth proportional to 609.60, 908.64 and 604.82 is: 901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 908.64 = 604.82 : x
  2. Step 2: Convert to fraction form
    609.60/908.64 = 604.82/x
  3. Step 3: Cross multiply
    609.60x = 908.64 × 604.82
  4. Step 4: Simplify right side
    609.60x = 549,563.64
  5. Step 5: Solve for x
    x = 549,563.64/609.60
  6. Step 6: Final answer
    x = 901.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.