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Finding the Fourth Proportional to 682.98, 1,024.47 and 318.08

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Solution

The fourth proportional to 682.98, 1,024.47 and 318.08 is: 477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.98 : 1,024.47 = 318.08 : x
  2. Step 2: Convert to fraction form
    682.98/1,024.47 = 318.08/x
  3. Step 3: Cross multiply
    682.98x = 1,024.47 × 318.08
  4. Step 4: Simplify right side
    682.98x = 325,858.30
  5. Step 5: Solve for x
    x = 325,858.30/682.98
  6. Step 6: Final answer
    x = 477.11

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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.