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Finding the Fourth Proportional to 486.59, 729.74 and 409.57

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Solution

The fourth proportional to 486.59, 729.74 and 409.57 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.59 : 729.74 = 409.57 : x
  2. Step 2: Convert to fraction form
    486.59/729.74 = 409.57/x
  3. Step 3: Cross multiply
    486.59x = 729.74 × 409.57
  4. Step 4: Simplify right side
    486.59x = 298,878.81
  5. Step 5: Solve for x
    x = 298,878.81/486.59
  6. Step 6: Final answer
    x = 614.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.