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Finding the Fourth Proportional to 440, 659.31 and 394.10

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Solution

The fourth proportional to 440, 659.31 and 394.10 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 659.31 = 394.10 : x
  2. Step 2: Convert to fraction form
    440/659.31 = 394.10/x
  3. Step 3: Cross multiply
    440x = 659.31 × 394.10
  4. Step 4: Simplify right side
    440x = 259,834.07
  5. Step 5: Solve for x
    x = 259,834.07/440
  6. Step 6: Final answer
    x = 590.53

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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.