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Finding the Fourth Proportional to 683.07, 1,025.14 and 476.30

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Solution

The fourth proportional to 683.07, 1,025.14 and 476.30 is: 714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.07 : 1,025.14 = 476.30 : x
  2. Step 2: Convert to fraction form
    683.07/1,025.14 = 476.30/x
  3. Step 3: Cross multiply
    683.07x = 1,025.14 × 476.30
  4. Step 4: Simplify right side
    683.07x = 488,269.06
  5. Step 5: Solve for x
    x = 488,269.06/683.07
  6. Step 6: Final answer
    x = 714.81

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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.