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Finding the Fourth Proportional to 475.94, 716.45 and 431.30

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Solution

The fourth proportional to 475.94, 716.45 and 431.30 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.94 : 716.45 = 431.30 : x
  2. Step 2: Convert to fraction form
    475.94/716.45 = 431.30/x
  3. Step 3: Cross multiply
    475.94x = 716.45 × 431.30
  4. Step 4: Simplify right side
    475.94x = 309,004.89
  5. Step 5: Solve for x
    x = 309,004.89/475.94
  6. Step 6: Final answer
    x = 649.25

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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.