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Finding the Fourth Proportional to 440.63, 657.52 and 382.31

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Solution

The fourth proportional to 440.63, 657.52 and 382.31 is: 570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.63 : 657.52 = 382.31 : x
  2. Step 2: Convert to fraction form
    440.63/657.52 = 382.31/x
  3. Step 3: Cross multiply
    440.63x = 657.52 × 382.31
  4. Step 4: Simplify right side
    440.63x = 251,372.23
  5. Step 5: Solve for x
    x = 251,372.23/440.63
  6. Step 6: Final answer
    x = 570.49

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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.