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Finding the Fourth Proportional to 478.95, 660.78 and 313.10

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Solution

The fourth proportional to 478.95, 660.78 and 313.10 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.95 : 660.78 = 313.10 : x
  2. Step 2: Convert to fraction form
    478.95/660.78 = 313.10/x
  3. Step 3: Cross multiply
    478.95x = 660.78 × 313.10
  4. Step 4: Simplify right side
    478.95x = 206,890.22
  5. Step 5: Solve for x
    x = 206,890.22/478.95
  6. Step 6: Final answer
    x = 431.97

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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.