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Finding the Fourth Proportional to 683.39, 1,024.88 and 358.58

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Solution

The fourth proportional to 683.39, 1,024.88 and 358.58 is: 537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.39 : 1,024.88 = 358.58 : x
  2. Step 2: Convert to fraction form
    683.39/1,024.88 = 358.58/x
  3. Step 3: Cross multiply
    683.39x = 1,024.88 × 358.58
  4. Step 4: Simplify right side
    683.39x = 367,499.68
  5. Step 5: Solve for x
    x = 367,499.68/683.39
  6. Step 6: Final answer
    x = 537.76

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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.