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Finding the Fourth Proportional to 499.41, 689.04 and 352.40

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Solution

The fourth proportional to 499.41, 689.04 and 352.40 is: 486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.41 : 689.04 = 352.40 : x
  2. Step 2: Convert to fraction form
    499.41/689.04 = 352.40/x
  3. Step 3: Cross multiply
    499.41x = 689.04 × 352.40
  4. Step 4: Simplify right side
    499.41x = 242,814.25
  5. Step 5: Solve for x
    x = 242,814.25/499.41
  6. Step 6: Final answer
    x = 486.20

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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.