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Finding the Fourth Proportional to 495.92, 744.52 and 313.68

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Solution

The fourth proportional to 495.92, 744.52 and 313.68 is: 470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 744.52 = 313.68 : x
  2. Step 2: Convert to fraction form
    495.92/744.52 = 313.68/x
  3. Step 3: Cross multiply
    495.92x = 744.52 × 313.68
  4. Step 4: Simplify right side
    495.92x = 233,541.03
  5. Step 5: Solve for x
    x = 233,541.03/495.92
  6. Step 6: Final answer
    x = 470.92

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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.