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Finding the Fourth Proportional to 431.90, 647.21 and 317.34

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Solution

The fourth proportional to 431.90, 647.21 and 317.34 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 647.21 = 317.34 : x
  2. Step 2: Convert to fraction form
    431.90/647.21 = 317.34/x
  3. Step 3: Cross multiply
    431.90x = 647.21 × 317.34
  4. Step 4: Simplify right side
    431.90x = 205,385.62
  5. Step 5: Solve for x
    x = 205,385.62/431.90
  6. Step 6: Final answer
    x = 475.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.