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Finding the Fourth Proportional to 496.69, 744.65 and 313.70

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Solution

The fourth proportional to 496.69, 744.65 and 313.70 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.69 : 744.65 = 313.70 : x
  2. Step 2: Convert to fraction form
    496.69/744.65 = 313.70/x
  3. Step 3: Cross multiply
    496.69x = 744.65 × 313.70
  4. Step 4: Simplify right side
    496.69x = 233,598.57
  5. Step 5: Solve for x
    x = 233,598.57/496.69
  6. Step 6: Final answer
    x = 470.31

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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.