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Finding the Fourth Proportional to 1,457.31, 2,185.97 and 431.31

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Solution

The fourth proportional to 1,457.31, 2,185.97 and 431.31 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.31 : 2,185.97 = 431.31 : x
  2. Step 2: Convert to fraction form
    1,457.31/2,185.97 = 431.31/x
  3. Step 3: Cross multiply
    1,457.31x = 2,185.97 × 431.31
  4. Step 4: Simplify right side
    1,457.31x = 942,830.72
  5. Step 5: Solve for x
    x = 942,830.72/1,457.31
  6. Step 6: Final answer
    x = 646.97

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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.