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Finding the Fourth Proportional to 477.57, 716.96 and 475.14

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Solution

The fourth proportional to 477.57, 716.96 and 475.14 is: 713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 716.96 = 475.14 : x
  2. Step 2: Convert to fraction form
    477.57/716.96 = 475.14/x
  3. Step 3: Cross multiply
    477.57x = 716.96 × 475.14
  4. Step 4: Simplify right side
    477.57x = 340,656.37
  5. Step 5: Solve for x
    x = 340,656.37/477.57
  6. Step 6: Final answer
    x = 713.31

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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.