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Finding the Fourth Proportional to 609.68, 841.30 and 361.00

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Solution

The fourth proportional to 609.68, 841.30 and 361.00 is: 498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 841.30 = 361.00 : x
  2. Step 2: Convert to fraction form
    609.68/841.30 = 361.00/x
  3. Step 3: Cross multiply
    609.68x = 841.30 × 361.00
  4. Step 4: Simplify right side
    609.68x = 303,704.19
  5. Step 5: Solve for x
    x = 303,704.19/609.68
  6. Step 6: Final answer
    x = 498.14

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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.