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Finding the Fourth Proportional to 683.36, 1,025.61 and 529.70

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Solution

The fourth proportional to 683.36, 1,025.61 and 529.70 is: 794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.36 : 1,025.61 = 529.70 : x
  2. Step 2: Convert to fraction form
    683.36/1,025.61 = 529.70/x
  3. Step 3: Cross multiply
    683.36x = 1,025.61 × 529.70
  4. Step 4: Simplify right side
    683.36x = 543,265.62
  5. Step 5: Solve for x
    x = 543,265.62/683.36
  6. Step 6: Final answer
    x = 794.99

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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.