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Finding the Fourth Proportional to 609.64, 908.37 and 583.98

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Solution

The fourth proportional to 609.64, 908.37 and 583.98 is: 870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.64 : 908.37 = 583.98 : x
  2. Step 2: Convert to fraction form
    609.64/908.37 = 583.98/x
  3. Step 3: Cross multiply
    609.64x = 908.37 × 583.98
  4. Step 4: Simplify right side
    609.64x = 530,469.91
  5. Step 5: Solve for x
    x = 530,469.91/609.64
  6. Step 6: Final answer
    x = 870.14

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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.