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Finding the Fourth Proportional to 458.31, 683.12 and 431.68

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Solution

The fourth proportional to 458.31, 683.12 and 431.68 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.31 : 683.12 = 431.68 : x
  2. Step 2: Convert to fraction form
    458.31/683.12 = 431.68/x
  3. Step 3: Cross multiply
    458.31x = 683.12 × 431.68
  4. Step 4: Simplify right side
    458.31x = 294,889.24
  5. Step 5: Solve for x
    x = 294,889.24/458.31
  6. Step 6: Final answer
    x = 643.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.