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Finding the Fourth Proportional to 683.65, 1,023.94 and 479.13

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Solution

The fourth proportional to 683.65, 1,023.94 and 479.13 is: 717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,023.94 = 479.13 : x
  2. Step 2: Convert to fraction form
    683.65/1,023.94 = 479.13/x
  3. Step 3: Cross multiply
    683.65x = 1,023.94 × 479.13
  4. Step 4: Simplify right side
    683.65x = 490,603.01
  5. Step 5: Solve for x
    x = 490,603.01/683.65
  6. Step 6: Final answer
    x = 717.62

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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.