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Finding the Fourth Proportional to 447.40, 617.70 and 403.12

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Solution

The fourth proportional to 447.40, 617.70 and 403.12 is: 556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 617.70 = 403.12 : x
  2. Step 2: Convert to fraction form
    447.40/617.70 = 403.12/x
  3. Step 3: Cross multiply
    447.40x = 617.70 × 403.12
  4. Step 4: Simplify right side
    447.40x = 249,007.22
  5. Step 5: Solve for x
    x = 249,007.22/447.40
  6. Step 6: Final answer
    x = 556.57

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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.