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Finding the Fourth Proportional to 475.08, 716.13 and 434.07

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Solution

The fourth proportional to 475.08, 716.13 and 434.07 is: 654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.08 : 716.13 = 434.07 : x
  2. Step 2: Convert to fraction form
    475.08/716.13 = 434.07/x
  3. Step 3: Cross multiply
    475.08x = 716.13 × 434.07
  4. Step 4: Simplify right side
    475.08x = 310,850.55
  5. Step 5: Solve for x
    x = 310,850.55/475.08
  6. Step 6: Final answer
    x = 654.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.