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Finding the Fourth Proportional to 476.38, 713.13 and 440.38

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Solution

The fourth proportional to 476.38, 713.13 and 440.38 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.38 : 713.13 = 440.38 : x
  2. Step 2: Convert to fraction form
    476.38/713.13 = 440.38/x
  3. Step 3: Cross multiply
    476.38x = 713.13 × 440.38
  4. Step 4: Simplify right side
    476.38x = 314,048.19
  5. Step 5: Solve for x
    x = 314,048.19/476.38
  6. Step 6: Final answer
    x = 659.24

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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.