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Finding the Fourth Proportional to 431.87, 647.80 and 351.27

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Solution

The fourth proportional to 431.87, 647.80 and 351.27 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 647.80 = 351.27 : x
  2. Step 2: Convert to fraction form
    431.87/647.80 = 351.27/x
  3. Step 3: Cross multiply
    431.87x = 647.80 × 351.27
  4. Step 4: Simplify right side
    431.87x = 227,551.83
  5. Step 5: Solve for x
    x = 227,551.83/431.87
  6. Step 6: Final answer
    x = 526.91

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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.