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Finding the Fourth Proportional to 650.66, 975.31 and 431.01

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Solution

The fourth proportional to 650.66, 975.31 and 431.01 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.66 : 975.31 = 431.01 : x
  2. Step 2: Convert to fraction form
    650.66/975.31 = 431.01/x
  3. Step 3: Cross multiply
    650.66x = 975.31 × 431.01
  4. Step 4: Simplify right side
    650.66x = 420,367.29
  5. Step 5: Solve for x
    x = 420,367.29/650.66
  6. Step 6: Final answer
    x = 646.07

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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.