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Finding the Fourth Proportional to 478.82, 660.83 and 313.51

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Solution

The fourth proportional to 478.82, 660.83 and 313.51 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.82 : 660.83 = 313.51 : x
  2. Step 2: Convert to fraction form
    478.82/660.83 = 313.51/x
  3. Step 3: Cross multiply
    478.82x = 660.83 × 313.51
  4. Step 4: Simplify right side
    478.82x = 207,176.81
  5. Step 5: Solve for x
    x = 207,176.81/478.82
  6. Step 6: Final answer
    x = 432.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.