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Finding the Fourth Proportional to 508.96, 762.68 and 313.95

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Solution

The fourth proportional to 508.96, 762.68 and 313.95 is: 470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 762.68 = 313.95 : x
  2. Step 2: Convert to fraction form
    508.96/762.68 = 313.95/x
  3. Step 3: Cross multiply
    508.96x = 762.68 × 313.95
  4. Step 4: Simplify right side
    508.96x = 239,443.39
  5. Step 5: Solve for x
    x = 239,443.39/508.96
  6. Step 6: Final answer
    x = 470.46

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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.