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Finding the Fourth Proportional to 682.93, 1,024.41 and 317.69

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Solution

The fourth proportional to 682.93, 1,024.41 and 317.69 is: 476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.93 : 1,024.41 = 317.69 : x
  2. Step 2: Convert to fraction form
    682.93/1,024.41 = 317.69/x
  3. Step 3: Cross multiply
    682.93x = 1,024.41 × 317.69
  4. Step 4: Simplify right side
    682.93x = 325,444.81
  5. Step 5: Solve for x
    x = 325,444.81/682.93
  6. Step 6: Final answer
    x = 476.54

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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.