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Finding the Fourth Proportional to 495.69, 744.31 and 473.78

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Solution

The fourth proportional to 495.69, 744.31 and 473.78 is: 711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.69 : 744.31 = 473.78 : x
  2. Step 2: Convert to fraction form
    495.69/744.31 = 473.78/x
  3. Step 3: Cross multiply
    495.69x = 744.31 × 473.78
  4. Step 4: Simplify right side
    495.69x = 352,634.29
  5. Step 5: Solve for x
    x = 352,634.29/495.69
  6. Step 6: Final answer
    x = 711.40

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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.